Quadratic Transformations

Compare the function y = 5x² to the parent function y = x²

• Wider

• Narrower

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

• horizontal shift up

• vertical shift up

• horizontal shift down

• vertical shift down

In the graph of the function y=x², which describes a vertical shift in the parent function up 5 units?

• y = x² - 5

• y = x² + 5

• y = (x - 5)²

• y = (x + 5)²

Match the equation to its description.

• Reflected over x and stretched by 3

• Stretched by 3

• Reflected over x

• Reflected over x and up 3

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

If the blue is f(x)=x^2, the red must be

• g(x)=(x+3)²

• g(x)=(x-3)²

• g(x)=x²+3

• g(x)=x²-2

Given f(x) = -x² , how did we transform from the parent function?

• Horizontal shift left

• Reflection over the x-axis

• Vertical shift down

• Vertical compression

If the blue is f(x)=x^2, then the red must be

• g(x)=x² - 5

• g(x)=x² + 5

• g(x)=(x - 5)²

• g(x)=(x + 5)²

How did we transform from the parent function?

• moved 2 to the right

• moved up 2

• moved 2 to the left

• moved down 2

Given f(x) = x² - 4 , how did we transform from the parent function?

• Shift left 4

• Shift up 4

• Shift right 4

• Shift down 4