Quadratic Functions Horizontal and Vertical Shift

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

Match the description to its equation.
Moves up 2
Moves left 4

• A
• B
• C
• D

Match the description to its equation.
Moves right 7

• A
• B
• C
• D

Match the description to its equation.
- moves down 3

• A
• B
• C
• D

Match the description to its equation.
Moves down 1
Moves right 1

• A
• B
• C
• D

Given f(x) = (x-3)² + 5.  What transformations took place from the original function f(x)?

• Left 3 and up 5
• Right 3 and down 5
• Left 3 and down 5
• Right 3 and up 5

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²

• shift left 7 units

• shift right 7 units

• shift up 7 units

• shift down 7 units

Match the equation to its description.

• Right 2 and up 2
• Left 2 and up 2
• Right 2 and down 2
• Left 2 and down 2

Given f(x) = (x+2)² - 5. What transformations took place from the original function f(x)?

• Left 2 and up 5

• Right 2 and down 5

• Left 2 and down 5

• Right 2 and up 5

How did we transform from the parent function?
y = x² + 2

• horizontal shift right

• vertical shift up
• horizontal shift left

• vertical shift down