Horizontal and Vertical Shifts of Functions

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

• horizontal shift left 7 units

• horizontal shift right 7 units

• vertical shift up 7 units

• vertical 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

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

Write an equation if the graph was shifted 4 right and 1 down...

• f(x - 4) - 1

• f(x + 4) - 1

• f(x + 4) + 1

• f(x + 1) + 4

Write the function if a graph was shifted 2 left and 3 up...

• f(x - 3) + 2

• f(x + 3) - 2

• f(x + 2) + 3

• f(x - 2) + 3

How did the equation shift from the parent function?

• Shifted up "c" units

• Shifted down "c" units

• Stretches vertically

• Shifted right "c" units

• shift to the right 2 and shift up 4

• shift to the right 2 and shift down 4

• shift to the left 2 and shift up 2

• shift to the left 2 and shift down 2

• shift to the right 4 and shift down 2

• shift to the left 4 and shift up 2

• shift to the right 4 and shift up 2

• shift to the left 4 and shift down 2

Which function has a horizontal shift of 2 and a vertical shift of 3?

Given the graph above, which equation shifts line down 5 units?

• y = 4x - 1

• y = 2x - 6

• y = 4x - 6

• y = 2x - 1