Parabola Transformations/Vertex Form Word Problems Quiz

Is this parabola  $y=3(x+4)^2-1$  wider or skinnier than the parent function  $x^2?$   

• Wider

• Skinnier

• No Change

In vertex form, y= a(x-h)²+k, what effect does the k have on the graph?

• Translates Vertically (Up/Down)

• Translates Horizontally (L/R)

• Dilates/Stretches (Wider/Skinnier)

In vertex form, y= a(x-h)²+k, what effect does the a have on the graph?

• Translates Vertically (Up/Down)

• Translates Horizontally (L/R)

• Dilates/Stretches (Wider/Skinnier)

Describe the function  $f\left(x\right)=\left(x+4\right)^2-2$ compared to the parent function  $f\left(x\right)=x^2$  ? 

• wider

• skinnier

• no change

Which of the following will be a parabola that opens down/has a maximum?

• y = x² -1

• y = -x²

• y = -x -1

• y = 3x²

Tags

CCSS.HSF-IF.C.7A

Tell how the graph transformed.

y = (x - 3)²-5

• Right 3, Down 5

• Left 3, Down 5

• Left 5, Down 3

• Right 5, Down 3

Describe the transformation of this parabola.

• wider, shifted left, shifted up

• wider, shifted right, shifted down

• skinnier, shifted left, shifted down

• skinnier, shifted right, shifted up

Identify the maximum for $f(x)=-2(x+1)^2+3$  

• (x,f)

• (3, 1)

• (-1,-3)

• (-1,3)

Does the function y = (x+2)² have a maximum, minimum, both or neither?

• Maximum

• Minimum

• Both

• Neither

Does the function y = -1/2(x+1)² have a maximum, minimum, both or neither?

• Maximum

• Minimum

• Both

• Neither