Exploring Transformations of Absolute Value Parabolas

What is the parent function if the transform function is G(x) = (x - 3)^2 + 4?

• f(x) = x^2

• f(x) = x + 4

• f(x) = x^3

• f(x) = |x|

What does a vertical shift of +3 do to the graph of a function?

• Moves it 3 units down

• Moves it 3 units to the left

• Moves it 3 units to the right

• Moves it 3 units up

If a function has a vertical shift of -2, what happens to the graph?

• It moves 2 units up

• It moves 2 units down

• It moves 2 units to the left

• It moves 2 units to the right

What is the effect of a horizontal shift of +2 on the graph of a function?

• Moves it 2 units to the left

• Moves it 2 units to the right

• Moves it 2 units up

• Moves it 2 units down

How does a horizontal shift of -3 affect the graph of a function?

• Moves it 3 units to the right

• Moves it 3 units down

• Moves it 3 units to the left

• Moves it 3 units up

What does multiplying a function by 2 outside the function do to its graph?

• Shifts it vertically

• Flips it vertically

• Compresses it vertically

• Stretches it vertically

What is the result of multiplying a function by -1 outside the function?

• Flips it vertically

• Compresses it vertically

• Stretches it vertically

• Shifts it vertically

What happens to the graph of a function when it is multiplied by 0.4 outside the function?

• It stretches vertically

• It shifts vertically

• It compresses vertically

• It flips vertically

What is the effect of dividing the input of a function by 3 inside the function?

• Vertical dilation by a factor of 1/3

• Horizontal dilation by a factor of 3

• Horizontal dilation by a factor of 1/3

• Vertical dilation by a factor of 3

If a function is horizontally dilated by a factor of 1/4, what happens to the graph?

• It shifts horizontally

• It stretches horizontally

• It flips horizontally

• It compresses horizontally