Characteristics of the Quadratic Function

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)

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

• y > -6

• -2 < x < 10

• -∞ < x < ∞

• y < -6

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

• y < -6

• -2 < x < 10

• -∞ < x < ∞

• -6 ≤ y < ∞

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?

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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 the arrow pointing at? How can you use this value to determine the minimum/maximum values?

• The arrow is pointing at the y-intercept. The y value of this point is equivalent to the maximum/minimum 
• The arrow is pointing at the vertex. The x value of this point is equivalent to the maximum/minimum
• The arrow is pointing at the solution. The y value of this point is equivalent to the maximum and the x value is equivalent to the minimum
• The arrow is pointing at the vertex. The y value is equivalent to the minimum/maximum