Quad Transformations

What steps transform the graph y = x² to y = x² + 8

• shifted up 8 units

• shifted down 8 units

• shifted left 8 units

• shifted right 8 units

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

• a reflection across the line x = -4

• a reflection across the line y = -4

• a translation shifting f(x) 4 units to the left

• a translation shifting f(x) 4 units to the right

What steps transform the graph y = x² to y = (x - 4)²

• Shifted down 4 units

• Shifted left 4 units

• Shifted right 4 units

• Shifted up 4 units

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

"a" causes the parabola to vertically ​ (a)   when a < 1.

• compress

• stretch

a

b

c

d

e

down

up

right

reflected

left

Label how each number transforms the function

b

c

d

e

Moves up 7

Right 3

Reflected over the x-axis

Left 3

Stretched by a factor of 2

"a" causes the parabola to vertically ​ (a)   when a > 1.

• stretch

• compress

Vertical Dilation

a

b

c

d

Horizontal Dilation

Horizontal Translation

Vertical Dilation

Vertical Translation

• Maximum

• Left 5

• Down 8

• vertical shrink

• Minimum

• Right 5

• Up 8

• Vertical Stretch

• No Vertical Shift