Interpret Graphs of Quadratic Functions

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

• Yes, "+3" on the end of the function moves the function to the right 3 units
• No, "+3" on the end of the function moves the function to the left 3 units
• No, "+3" on the end of the function moves the function to the down 3 units
• No, "+3" on the end of the function moves the function to the up 3 units

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 green dashed line called?

• roots or x-intercepts

• parabola

• axis of symmetry

• y intercept

Tags

CCSS.HSF-IF.C.7A

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

If given the equation
y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)