Stretch Compress Quadratics

Which of the following parabolas open down? Select ALL that apply.

• y= 2(x - 3)² + 11

• y= - (x + 2)² - 3

• y= -1/2x² + 5x - 13

• y= 4x² - 6x - 9

• y= -2(x + 4)² + 4

Tags

CCSS.HSF-IF.C.7A

Which of the following parabolas are being stretched? Select ALL that apply.

• y= 3(x - 2)²

• y= - 4(x + 5)² - 7

• y= 1/4(x + 9)² + 1

• y= - 6(x - 4)² - 8

• y= -1/2(x + 2)² + 13

In the equation f(x)=2(x + 5)² - 3, what transformations are taking place?

• Stretch, right 5, down 3

• Compress, right 5, down 3

• Stretch, left 5, down 3

• Compress, left 5, down 3

Mark drew the graph of y= 1/2(x - 4)² -9. How should he transform that graph to produce the graph of y= -1/2(x + 8)² + 3? Select all that apply.

• Reflection over the x-axis

• Left 12

• Right 12

• Down 12

• Up 12

If the function f(x) = x² is changed so that a new function is created, g(x) = 5x², how does g(x) compare to f(x)?

• The graph of g(x) is wider than the graph of f(x)

• The graph of g(x) is narrower than the graph of f(x)

• The graph of g(x) is shifted 5 units up above f(x)

• The graph of g(x) is shifted 5 units down below f(x)

How did we transform from the parent function?
g(x) = -1/5(x - 1)² + 7

• reflection, vertical compression, horizontal right, vertical up
• vertical compression, horizontal shift left, vertical shift up
• reflection, horizontal shift right, vertical shift down
• no changes were made to y = x²

f(x) = x² is transformed to -30f(x).

Describe the transformation. Select all that apply

• reflect about the x-axis

• down

• horizontal stretch

• right

• vertical stretch

f(x) = x² is transformed to -0.25f(x).

Describe the transformation. Select all that apply

• reflect about the x-axis

• down

• horizontal stretch

• right

• vertical stretch

Identify the transformations. 

• horizontal shift to the right 4 and vertical shift down 2
• horizontal shift to the left 4 and vertical shift up 2
• horizontal shift to the right 4 and vertical shift up 2
• horizontal shift to the left 4 and vertical shift down 2

Tags

CCSS.HSF.BF.B.3

Describe the transformation of y = f(x) to the new function
 y = f(1/5x)

• Horizontal shrink by a factor of 1/5
• Vertical stretch be a factor of 5
• Vertically shrink by a factor of 1/5
•  Horizontal stretch by a factor of 5

Tags

CCSS.HSF.BF.B.3