Graphs/Equations 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

Using the graph of the quadratic function, identify the y-intercept.

• (4, -6)

• (0, 2)

• (.5, 0)

• (7.5, 0)

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

• (4, -6)

• (0, 2)

• (.5, 0)

• (7.5, 0)

What is the y-intercept of this quadratic function: 7x² + 2x - 3 = y?

• 0

• 7

• 2

• -3

What is the axis of symmetry?

• A line whose equation is the x-coordinate of a parabola's vertex

• A central line that divides a parabola into mirror images

• A line that intersects a parabola at the vertex

• All of the above

Which of the following graphs appropriately marks the axis of symmetry?

• 
• 
• 
• 

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

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

What are the x-intercepts?

• 0 and 2
• -4 and 0
• 2 and 3
• 0 and 4

What is the vertex?

• (2, 4)
• (3, -1)
• (0, 8)
• (4, 2)