Stretch Compress of Polynomial

In the equation f(x)=1/2(x+9)²-1, what happens to the parabola?

• Reflect, horizontal compress by 1/2, left 9, down 1

• Vertical compress by 1/2, left 9, down 1

• Horizontal Compress by 1/2, right 9, down 1

• Vertical Stretch by 1/2, left 9, down 1

In the equation f(x)=5(x+3)²-10 what does the 5 do?

• Vertical stretch by 5

• Horizontal compress by 5

• Reflect

• Move up 5

Match the equation to its description.

• Vertical Stretched by 2 and translation up 4

•  Vertical Compressed by 2 and translation up 4

• Horizontal Stretched by 2 and translation left 4

• Horizontal Compressed by 2 and translation right 4

In the equation f(x)=5(x+3)²-10 what does the 5 do?

• Vertical stretch by 5

• Vertical compression by 5

• Reflect

• Move up 5

g(x)=2f(x) is graphed. If we had (2, 4) as a reference point for f(x). Plot the new reference point for g(x).

If the blue graph is
f(x) = x² 
the red must be...

• g(x) = (x + 3)²

• g(x) = (x - 3)²

• g(x) = x² + 3

• g(x) = x² - 2

Does the graph of this equation widen or narrow from the parent function?
y=  5(x - 5)² + 3

• widen

• narrow

• neither

If red represents y = x², which equation represents blue?

• y = 2x²

• y = -2x²

• y = -x²

• y = (x - 1)²

• Vertical compression by a factor of 2, and shifted right by 1 unit

• Reflected over the x-axis, vertical stretch by a factor of 2, and shift left by 1 unit

• Reflected over the y-axis by a factor of 2, and shifted up by 1 unit

• Reflected over the x-axis, horizontal compression by a factor of 2, and shifted down by 1 unit

Tags

CCSS.HSF.BF.B.3

Describe the transformation of the graph  y = -2(x + 5)³ 

• Shrink by 2, Reflected over y-axis, Right 5

• Stretch by 2, Reflected over x-axis, Left 5

• Stretch by 2, Reflected over x-axis, Right 5

• Shrink by 2, reflected over y-axis, Left 5

Tags

CCSS.HSF.BF.B.3