Graphing Transformations of Quadratic Functions

Tags

CCSS.HSF-IF.C.7A

• Vertical Stretch by 2; Vertical Translation up 3

• Vertical Shrink by 2; Vertical Translation up 3

• Vertical Stretch by 2; Vertical Translation down 3

• Vertical Shrink by 2; Vertical Translation down 3

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

The graph shows the function f(x)=x² in blue and another function g(x) in red.  Which could be the equation for g(x)?

• g(x) = 2x²

• g(x) = 1/2x²

• g(x) = x² + 2

• g(x) = (x + 2)²

Match the equation to its description.

• Reflected over x-axis and shifted up 4

• Reflected over x-axis and shifted down 4

• Reflected over x-axis and shifted right 4

• Reflected over x-axis and shifted left 4

Tags

CCSS.HSF-IF.C.7A

• Maximum

• Left 5

• Down 8

• vertical shrink

• Minimum

• Right 5

• Up 8

• Vertical Stretch

• No Vertical Shift

• Maximum

• Left 5

• Down 8

• vertical shrink

• Minimum

• Right 5

• Up 8

• Vertical Stretch

• No Vertical Shift

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