Quadratic Transformations

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

What step transformed the graph y = x² to y = x² + 8

Expert helpful tip: Graph both in Desmos

• shifted up 8 units

• shifted down 8 units

• shifted left 8 units

• shifted right 8 units

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

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

What part of the graphs do you look at to see how they transformed?

• vertex

• slope

• domain

• axis of symmetry

Given f(x) = (x + 3)² , how did we transform from the parent function?

• Horizontal shift left 3

• Vertical shift up 3

• Horizontal shift right 3

• Vertical shift down 3

In the vertex form f(x) = a(x - h)² + k , what does the 'a' value do?

• Shifts the function left or right

• Changing 'a' value has no affect on the parent function

• Vertical stretch or compression

• Shifts the function up or down