Interpret Graphs of Quadratic

Which transformation will occur if f(x) = x² is replaced with f(x) + 2?

• Translation left 2 units

• Narrower

• Vertical translation up by 2 units.

• Reflection across the x-axis.

Which transformation will occur if f(x) = x² is replaced with -f(x)?

• Nothing happens, it stays the same.

• Narrower

• Vertical translation up by 2 units.

• Reflection across the x-axis.

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

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

• Wider

• Narrower

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

What is the vertex of the graph?

• (2, 4)

• (3, -1)

• (0, 8)

• (4, 2)

What is a parabola?

• The straight graph of a quadratic function

• The circular graph of a quadratic function

• The V-shaped graph of a quadratic function

• The U-shaped graph of a quadratic function

Tags

CCSS.HSF-IF.C.7A

What is the axis of symmetry for the following equation?
y=4x²-8x+9

• x=-8

• x=1

• x=-1

• x=2

Match the equation to its description.

• Reflected over x, right 2 and up 1

• Reflected over x, left 2 and up 1

• Reflected over x, right 2 and down 1

• Reflected over x, left 2 and down 1

Find the axis of symmetry for
f(x) = x²- 8x + 15.

• x = -4

• x = 4

• y = 4

• y = -4