Stretch Compress Quadratics

• More Narrow (stretches)

• More Wide (compresses)

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

• right 9

• Vertical compress by 1/2

• Horizontal Compress by 1/2

• left 9

• down 1

What is the range of this function?

• -4 ≤ y ≤ 5

• -1 ≤ x ≤ 3

• All Real Numbers

• y ≥ -4

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What steps transform the graph y = x² to y = 2(x+2)² - 5?

• Compress by 2, shifted 2 units left and 5 down

• Stretch by 5, shifted 5 units left and 2 down

• Stretch by 2, shifted 2 units left and 5 down

• Compress by 5, shifted 2 units left and 2 down

What steps transform the graph y = x² to y = 1/2(x+2)² - 5?

• Compress by 1/2 , shifted 2 units left and 5 down

• Stretch by 5, shifted 5 units left and 2 down

• Stretch by 2, shifted 2 units left and 5 down

• Compress by 5, shifted 1/2 units left and 2 down

Which equation in vertex form matches the quadratic graph?

Which equation in vertex form matches the quadratic graph?

Tags

CCSS.HSF-IF.C.7A

Which equation in vertex form matches the quadratic graph?

Tags

CCSS.HSF-IF.C.7A

Compared to the parent function, f(x) = x², which of the following is the equation of the function after a vertical stretch by a factor of 3?

• A

• B

• C

• D

• g(x)=2x²
• g(x)=0.5x²
• g(x)=x²+2
• g(x)=(x+2)²