Parabola
Absolute Value
Square root
cubic function
100

What is the parent function of a Parabola?

y=x^2

100

What is the parent function of absolute value?

y=|x|

100

What is the parent function of square root?

y=sqrt(x)

100

what is the parent function of cubic function?

y=x^3

200

What is the domain of a parent function parabola?

(-oo,oo)

200

What is the range for the function |x|?

[0,oo)

200

y=sqrtx

What is the domain of the function?


[0,oo)

200

What is the domain and range of the function x3?

(-oo,oo) and (-oo,oo)

300

Describe the transformations that are occurring.

y=5(x-8)^2+2

vertical stretch by a factor of 5

8 units right

2 units up

300

Describe the transformations that are occurring.

y=1/2|x+2|-3

vertical compression by a factor of 1/2

2 units left

3 units down

300

Describe the transformations that are occurring.

y=sqrt(x-13)+20

13 units right

20 units up

300

Describe the transformations that are occurring.

y=4(x+7)^3-9

Vertical stretch by a factor of 4

7 units left

9 units down

400

Given the following transformations, please create the function.

Vertical compression by factor of 1/2

5 units left

7 units up

y=1/2(x+4)^2+7

400

Given the following transformations, please create the function.

Reflected across the x-axis

vertical stretch by a factor of 2

9 units to the right

4 units down

y=-2|x-9|-4

400

Given the following transformations, please create the function.

Reflected across the x-axis

3 units right

10 units up

y=-sqrt(x-3)+10

400

Given the following transformations, please create the function.

Reflected across the x-axis

vertical compression by a factor of 1/3

4 units right

3 units up

y=-1/3(x-4)^3+3

500

Write the equation for this function

y=(x+5)2-3

500

Write the equation of the function

y=-|x-3|-2

500

Write the correct function

y=sqrt(x-2)+3

500

Write the appropriate function

y=-(x+4)3+2