Quadratic Transformations Tables

The graph shows the function f(x)=x² in blue and another function g(x) in red.  Which could be the equation for g(x)?

• g(x)=3x²

• g(x)=1/3x²

• g(x) = x² - 3

• g(x) = (x-3)²

a

b

c

d

e

up

reflected

right

left

down

• compress

• stretch

Match the equation to its description.

• Reflected over x-axis and shifted up 4

• Reflected over x-axis and shifted down 4

• Reflected over x-axis and shifted right 4

• Reflected over x-axis and shifted left 4

The graph shows the function f(x)=x² in blue and another function g(x) in red.  Which could be the equation for g(x)?

• g(x)=3x²

• g(x)=1/3x²

• g(x) = x² - 3

• g(x) = (x-3)²

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

• translated Right 3, Up 5

• translated Left 3, Up 5

• translated Right 5, Down 3

• translated Right 3, Down 5

What transformations occur when transforming the graph of y=x² to the equation y = (x + 1)² - 3

• Shift left 3 and up 1

• Shift right 1 and up 3

• Shift left 1 and down 3

• Shift right 1 and down 3

• A

• B

• C

• D

Which of the following is a transformation of the graph y = x² + 4 ?

• Shifts left 4.

• Shifts right 4.

• Shifts up 4.

• Shifts down 4.

Which of the following is a transformation of the graph y = 3x².

• Shifts up 3.

• Shifts left 3.

• Vertical stretch by a factor of 3.

• Shifts right 3.