Quadratics Polynomials

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

• g(x) = x² - 5

• g(x) = x² + 5

• g(x) = (x - 5)²

• g(x) = (x + 5)²

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

• y = 2x²

• y = -2x²

• y = -x²

• y = (x - 1)²

(4x+1)(5x−2)

• 20x² + 3x − 2

• 20x² − 11x + 5

• 20x² − 18x + 2

• 20x² − 3x − 2

Which transformation transforms the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a vertical translation 4 units up

• a vertical translation 4 units down

• a horizontal translation 4 units to the left

• a horizontal translation 4 units to the right

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

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

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

• widen

• narrow

• neither

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

Match the equation to its description.

• Reflected over x and up 4

• Reflected over x and down 4

• Reflected over x and right 4 

• Reflected over x and left 4