Characteristics of Quadratic Functions

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

Which of the following equations is written in the standard form for quadratic equations?

• 8x + 4y = 12

• y = 4x² - 7x + 11

• 3x² + 2x = 1

• 2x² - x³ + 14 = y

What is another word for zeros?

• y-intercepts
• roots
• vertex
• axis of symmetry

Does this graph have a maximum or minimum value?

• maximum
• minimum
• neither
• both

Tags

CCSS.HSF-IF.C.7A

Use the graph to determine the solutions.
*Hint: Solutions = roots = zeros = x-intercepts

• -1 and -3
• 1 and -3
• 1 and 3
• -1 and 3

Using the graph of the quadratic function, identify the domain.

• y > -6

• -2 < x < 10

• -∞ < x < ∞

• y < -6

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Using the graph of the quadratic function, identify the range.

• y < -6

• -2 < y < 10

• y > 6

• y ≥ -6

Tags

CCSS.HSF-IF.C.7A

What is the direction of this quadratic function?

• upward

• downward

• Not a quadratic function

Tags

CCSS.HSF-IF.C.7A

What is the y-intercept for the equation: $y=\ 2x^2-4x+4$  

• (0,2)

• (0,4)

• (0,-4)

• (0,-2)

Tags

CCSS.HSF-IF.C.7A

Find the axis of symmetry of  $y=-2x^2-16x+3$  

•  $x=4$  

•  $x=8$  

•  $x=-4$  

•  $x=-8$