Select the function that represents the transformation of the parent function three units to the left and up two.

f(x) = |x - 3| - 2
f(x) = -|x - 3| + 2
f(x) = |x + 3| + 2
f(x) = -|x + 3| + 2

Answers

Answer 1
The third.

When you have a number in the parentheses(abs value function in this case) that is applied to the x value of the graph in the negative way. Since the 3 is positive, the graph will move to the left(negative) 3 spaces. Outside of the parentheses is the opposite; since the two is positive, it will move two places up, resulting in C being the only possible answer.

The reason it isn't D is because adding a negative to the front of the function would flip it over an axis which is not something we want to do here.
Answer 2

Answer:    

The correct option is C. f(x) = |x + 3| + 2

Step-by-step explanation:

The parent function in this case is : mod x = |x|

Let the parent function be f(x) = |x|

Now, The parent function is transformed 3 units to the left

⇒ f (x) = f(x + 3)

⇒ f(x) = |x + 3|

Also, The parent function is transformed up by 2 units

⇒ f(x) = f(x) + 2

⇒ f(x) = |x + 3| + 2

Therefore, The correct option is C. f(x) = |x + 3| + 2


Related Questions

Write down five number pairs that are solutions to ab = 95 ab=95. (note that you can use negative numbers and fractions.)

Answers

We want to find values for a and b that satisfy the equation
ab = 95

There is an infinite number of pairs of (a,b).

Answer:
Here are five number pairs (they are not unique).
(a,b) = (1, 95)
        = (5, 19)
        = (-1, -95)
        = (-5, -19)
        = (5/2, 38)

what is the quotient of 5/6 divided by 3/4

Answers

The correct answer is 10/9 or 1.1. Hope this helps.

1 1/9 is the answer

I know this because I just had to do the same problem and that was the answer


According to the rules of significant figures:

1 • 225 = 200

A. True
B. False

Answers

False! According to the rules of significant figure.

Ervin sells vintage cars. Every three months, he manages to sell 13 cars. Assuming he sells cars at a constant rate, what is the slope of the line that represents this relationship if time in months is along the x-axis and the number of cars sold is along the y-axis?

Answers

Answer:  [tex]4.33\text{ cars per month.}[/tex]

Step-by-step explanation:

Given : Ervin sells vintage cars. Every three months, he manages to sell 13 cars.

[tex]m=\dfrac{\text{change in y}}{\text{change in x}}[/tex]

If time in months is along the x-axis and the number of cars sold is along the y-axis

Change in months : 3

Change number of cars : 13

The slope of the line that represents this relationship will be :-

[tex]m=\dfrac{\text{Change in cars}}{\text{Change in months}}\\\\=\dfrac{13}{3}=4.33333\approx4.33\text{ cars per month.}[/tex]

Hence, the slope of the line = [tex]4.33\text{ cars per month.}[/tex]

Answer:

View the picture for your answer!

have a nice day :))

Given that h(x) = 3x −19, find the value of x that makes h(x) = 71. (5 points)


30

43

52

194

Answers

3x - 19 = 71
3x - 19 + 19 = 71 + 19
3x + 0 = 90
x = 90/3 = 30

What is the probability of getting either a sum of 5 or at least one 4 in the roll of a pair of​ dice?

Answers

the answer should be 2/12

The formular f = 9c/5 + 32 converts temperature in degrees Celsius into temperature in degrees Fahrenheit use the formula to find the value of f when c = -5 also help with the other questions please

Answers

F= 9(-5)/ 5 + 32
=-45/5+32
=-9+32
=23

help??

Look at the following numbers:

–6, 0, 6, 12

Which pair of numbers has a sum of 0?

6, 12
0, 6
–6, 0
6, –6

Answers

6 and -6 equal 0 on a number line 

the last one because 6+-6 =0.

Simplify 7x + 7 + 6x - 9.

13x - 2
13x + 2
11x

Answers

To do this you must combine like terms as follows.

7x + 6x = 13x
7 - 9 = -2 

Combine these together and you will get the following.

13 - 2 or -2 +13

Answer:

x = -2/13

Step-by-step explanation:

This is a first degree polynomial. To solve it, you need to follow these steps:

Step 1: Equate the polynomial to zero

7x + 7 + 6x - 9 = 0

Step 2: Separate all numbers that have variable "x" on one side of equality and real numbers on the other side

7x + 6x + 7-9

Note: Remember that if you are going to pass a number from side to side the equality is reversed.

Step 3: Add Both Sides

13x = -2

Step 4: Isolate the "x" Variable

x = -2/13

If we express $-2x^2 + 4x + 5$ in the form $a(x - h)^2 + k$, then what is $k$?

Answers

Bjbkbkbgjgjkgkhgkhghkgkugkugkugkhvghdts

What three different equations that have x = 5 as a solution

Answers

5x=25 could be one.
25/x-3=2 is another.
And the last one could be x/85+7=24
x+10 = 15

10x + 10 = 65

7x + 8(x²) = 235

hope this helps

I'm not quite sure about this one. Can someone help? -Concept: Logs-

Answers

Hi there!


The correct answer is option 1


Here is how it looks like on mine. Check the picture
Hello!

I believe the answer is the 1st one..

Here's what I got. (pic below)

Have a good weekend! ☺♥

Read the following conjecture.

Any number that is divisible by 2 is also divisible by 8.

Find a counterexample to show that the conjecture is false

A: 16

B: 24

C: 28

D: 32

Answers

The answer to your question is C

16/2 =8, 16/8 = 2

24/2 = 12, 24/8 = 3

28/2 = 14, 28/8 = 3.5

32/2 = 16, 32/8 = 4


28 isn't divisible by 8

 Answer is C

If 4 grams of water vapor are present in a cubic meter of air that can hold a maximum of 10 grams, the ________________ is 40 percent.If

Answers

If 4 grams of water vapor are present in a cubic meter of air that can hold a maximum of 10 grams, the relative humdity is 40 percen.Relative humidity is the ratio of the partial pressure of water vapor to the equilibrium vapor pressure of water at a given temperature

How do you write 180% as a fraction or mixed number in simplest form?

Answers

180% would be written as 1 4/5 in simplest form
Final answer:

To write 180% as a fraction or mixed number in simplest form, convert the percent to a fraction with a denominator of 100 and simplify the fraction. The simplified fraction is 9/5 or the mixed number is 1 and 4/5.

Explanation:

To convert a percent to a fraction or mixed number in simplest form, we need to write the percent as a fraction with a denominator of 100 and then simplify it. In this case, 180% can be written as 180/100. To simplify, we divide both the numerator and denominator by their greatest common divisor, which is 20. So, the simplified fraction is 9/5. This fraction can also be expressed as a mixed number by dividing the numerator by the denominator. Since 9 is greater than 5, the mixed number is 1 and 4/5.

Learn more about Converting percents here:

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A company rents riding equipment for a fixed amount plus a fee based on the number of days for which the equipment is rented. The table below shows the total charges, y, in dollars, of renting riding equipment for x number of days:

Riding Equipment Rentals
Number of Days
(x) Total Charges (dollars)
(y)
0 6
1 16
2 26


What is the fixed amount charged?
$6
$10
$16
$26
(is it a or b?)

Answers

The answer is 6. I know that because I solved the question and I got 6 I'm positive its 6. Hope this helps.

Answer:

A - 6$

You pay six dollars up front, on day zero.

In the xy-plane, if the parabola wiry equation y=ax^2+bx+c, where a, b, and c are constants, passes through the point (-1,1), which of the following must be true?

A) a-b=1
B) -b+c=1
C) a+b+c=1
D) a-b+c=1

Please help ;(

Answers

The answer is D cause you are given that the polynomial y=ax^+bx+c has the value y=1 a+x= -1. It means that (substitute this value of x= -1 into the polynomial) 1=y=a×(-1)+c =a*1-b+c=a-b+c.
again:a-b+c=1

The correct option will be "option D".

It is given that in the x-y plane, parabola with equation y=ax² + bx + c , passes through point (-1,1).

We have to check which equation is most suitable.

What is parabola ?

The graph of a quadratic equation in two variables (y=ax² + bx + c) is called a parabola.

Parabola has the equation ,

y = ax² + bx + c --------- Equation (1)

At point (−1, 1)

x = -1 and y = 1

Substitute the values of x and y in the equation (1).

i.e., y = ax² + bx + c

1 = a × (-1)² + b× (-1) + c

1 = a × (1) - b + c

1 = a - b + c

Thus, in x-y plane at point (1,-1) , equation will be , a - b + c = 1.

To learn more, about parabola click here ;

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How do I solve a quadratic equation using the Quadratic Formula?

Answers

The quadratic formula is useful for when you cannot factor a quadratic equation into it's roots (since they are decimals or fractions). 

A standard quadratic equation is in this form; ax²+bx+c=0 

The quadratic function is [tex] \frac{-b+- \sqrt{b x^{2} -4ac} }{2a} [/tex]

Insert the values of a, b and c into this equation to find out the roots. 

Hope I helped :) 

(a) A certain solution has a hydrogen ion concentration of 0.00000914 moles per liter. Write this number in scientific notation.
(b) A humpback whale can weigh up to ×1.1105 pounds. Write this number in standard notation.

Answers

(a) 0.00000914 in scientific notation: 9.14 * 10^-6

(b) As to this one, the equation seems incomplete. What's the exponent of 10, if it says there's any exponent?
Final answer:

The hydrogen ion concentration can be written in scientific notation as 9.14 x 10-6 M. The weight of a humpback whale can be written in standard notation as 11,105 pounds.

Explanation:

(a) The given hydrogen ion concentration of 0.00000914 moles per liter can be written in scientific notation as 9.14 x 10-6 M. To convert the number to scientific notation, we move the decimal point to the left until there is one non-zero digit to the left of the decimal point and multiply by the corresponding power of 10.

(b) The weight of a humpback whale, which is given as ×1.1105 pounds, can be written in standard notation as 11,105 pounds. To convert from scientific notation to standard notation, we move the decimal point to the right or left by the power of 10 indicated by the exponent.

Learn more about Scientific Notation here:

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65% of what number is 143

Answers

x * .65 = 143
Divide both sides by .65.
x = 220

143 is 65% of 220.
the answer is 220
equation: 143=0.65x
divide both sides by 0.65 to isolate x

what transformation has changed the parent function f(x) =log3x to its new appearance shown in the graph below

Answers

The parent function f(x) = log_3(x) has two important values that we can find.

log_3(1) asks "3^? = 1," which we know is 0. So, log_3(1) = 0, which means (1,0) is a point on the graph for the parent function.

log_3(3) asks "3^? = 3" which we know is 1. So, log_3(3) = 1, which means (3,1) is a point on the graph for the parent function.

Now, we look at the graph they gave us and we see that our two points have moved upward 2 units. Now, (1,2) and (3,3). The transformation appears to be f(x) + 2, as you have selected.

Answer:

"f(x) + 2" You were correct

A total of 210 people attended the opening night of a school musical. Student tickets cost $3.00 each while general admission tickets cost $7.50 each. If total sales were $1296, how many general admission tickets were sold?

Answers

To determine the number of general admission tickets sold, two equations were formed using the total number of attendees and total sales. By applying the elimination method to solve the system of equations, it was found that 148 general admission tickets were sold.

To solve this problem, we can set up two equations based on the number of people and the total sales. Let x represent the number of student tickets sold at $3.00 each, and let y represent the number of general admission tickets sold at $7.50 each. We are given that a total of 210 people attended, so:

1) x + y = 210

We are also given that the total sales were $1296, so:

2) 3x + 7.5y = 1296

We can solve this system of equations using the substitution or elimination method. For this example, I will use the elimination method. To eliminate one variable, we can multiply the first equation by 3, which gives us:

3x + 3y = 630

Now, by subtracting this new equation from the second equation, we eliminate x:

7.5y - 3y = 1296 - 630

4.5y = 666

Dividing both sides by 4.5, we find that:

y = 148

So, 148 general admission tickets were sold on the opening night of the school musical.

Ok this is really worth 90 pts, so can any body please help me on this.

Question 4 (Worth 90 points)
Given the function g(x) = 6(4)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.

Part A: Find the average rate of change of each section. (4 points)

Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. (6 points)

Answers

Part A:

f(x) = 5^x
f(x) = 5^0 = 0
f(x) = 5^1 = 5
Use this formula to solve: f(b) - f(a)/b - a
5 - 0 / 1 - 0 = 5/1 = 5
____________________

f(x) = 5^2 = 25
f(x) = 5^3 = 125
125 - 25 / 3 - 2 = 100/1 = 100

Average rate of change: 
Section A: 5
Section B: 100

Part B: 

Section B is 20 times greater then A
Why?
Because Section B is increasing in the equation. Thus, Section B is of greater value than Section A.

Part 1 (or a if you prefer):

f(x) = 5^x

f(x) = 5^0 = 0

f(x) = 5^1 = 5

Use this formula to solve: f(b) - f(a)/b - a

5 - 0 / 1 - 0 = 5/1 = 5

--

f(x) = 5^2 = 25

f(x) = 5^3 = 125

125 - 25 / 3 - 2 = 100/1 = 100

Average rate of change: 

Section A: 5

Section B: 100

Part 2 (or b if you prefer): 

Section B is 20 times greater then A

This is because Section B is increasing in the equation. Thus, Section B is of greater value than Section A.

Hope this assists you and future students.

The table below represents the displacement of a bird from its nest as a function of time:

Time
(hours)
x Displacement
from nest
(miles)
y
0 12
1 20
2 28
3 36
4 44


Part A: What is the y-intercept of the function, and what does this tell you about the bird? (4 points)

Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points)

Part C: What would be the domain of the function if the bird continued to fly at this rate until it traveled 172 miles from the nest? (2 points)

Please Help Fast!!!!

Answers

The y-intercept (point where x, or time equals zero), is 12 miles. This means that when observation of the bird began at time t=0, it was already away from its nest. Based on the rest the graph, one can infer that the bird has a very large range (travels far from her nest) and spends a great deal of time away from her nest. 

To find the average rate of change of the function, take the change in y between x=1 and x=3 and divide by 2. 
(36 - 20) / 2 = 16/2 = 8 miles / hour .

The domain of the function is the range of x for which y is a real number. We see in the chart provided that the bird travels 8 miles every hour. 

How many hours will it take to travel 172 miles from the nest? The bird started at 12, so let's so how long it takes to travel 172 - 12 = 160 miles, moving at a rate of 8 miles/hour.
160 miles / 8mph = 20 hours
The domain of the function, the time range in which the bird travels 172 miles from the nest, will be 0 ≤ x ≤ 20

Given the following functions f(x) and g(x), describe the changes (horizontal shifts, vertical shifts, etc.) to the graph of g(x) with respect to the graph of f(x).

f ( x ) = | x | g ( x ) = - | x + 3 | -2

Answers

g(x)=-|x+3|-2
So, first you have to subtract 2 (in other words the line will go two to the right).
Second, you have to add 3 and then take the absolute value, so it will move three up and curve up too. Hope this helped!


Help please usatestprep

Answers

The answer is c) I just worked it out

Answer:

the answer is C

Step-by-step explanation:

Solve the equation. 4p + 25 = 6(p – 3) – 3(4 – 3p)

Answers

4p+25=6p-18-12+9p Distribute
4p+25=15p-30 Combine like terms
25=11p-30 Subtract 30 from both sides
11p=55 Divide
p=5

What is the equation of a line that is parallel to −x+3y=6 and passes through the point (3, 5) ?

Answers

3y=6+x
y=(6+x)/3
y=2+x/3
y=mx+b
y=x/3+b
so m(slope) is 1/3
use the point (3, 5), sub this for x and y
5=3/3+b
5-1=b
b=4
therefore, y=x/3+4
or y=(1/3)x+4 (you can write it like this as well)

Can you form a right triangle with the three lengths given? Why or why not? 4mi, 5mi, 6mi

Answers

A right triangle must satisfy this equation: a^2 + b^2 = c^2 

a= shortest length
b=medium length
c=the longest length

a triangle with sides 4,5,6 will satisfy not this equation because:
4^2 + 5^2 ≠ 6^2 
16+25 = 41

41 ≠ 36

so the answer is C.

Hope this helps.

-Jabba

yes it's possible. sum of square of 4 and 5 is equal to the square of 6.

Will give brainliest if correct.

Answers

The answer is AB should be 2 feet not 3. :) Hopes this helps, have a good day.
It's b hope this helps
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