Graphing and Solving Quadratics Test

Which is a factor of x² - 3x - 28?

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• x + 7

• x - 14

• x + 4

• x - 4

Find the value of "c" that makes the following quadratic a perfect square trinomial: x² - 12x + c = 0

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• 144

• -144

• 36

• -36

To solve using square roots, your quadratic must be in which format?

• x = -b/2a

• ax² + bx = 0

• ax² + bx + c = 0

• ax² + c = 0

All of the following are names for the solutions to quadratic equations except which:

• roots

• zeros

• x-intercepts

• y-intercepts

Which of the following equations is quadratic?

• y = x³ + 1

• x + 10x = 4x²

• 3x - 2 = y

• y = 3(2)^x

What is the relationship of the axis of symmetry to the solutions of a quadratic?

• Axis of symmetry and quadratic solutions have no relationship

• Axis of symmetry falls halfway between the solutions

• Axis of symmetry divides your parabola into two equal halves

• Axis of symmetry and quadratic solutions are the same

Which of the following would be a step in solving the quadratic by Completing the Square: x² + 10x + 21 = 0

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• x² + 10x = 21

• (x + 5)² = 4

• x + 5 = ± 4

• x = {-9, -1}

All of the following are key characteristics of the parabola except which:

• Zeros: x = {-3, 1}

• Range: y ≤ 4

• Axis of Symmetry: x = -1

• Equation: y = -x² + 2x - 3

Find the vertex and Axis of Symmetry:

y = -x² - 4x + 1

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• Axis of Symmetry = -2; Vertex (-2, 13)

• Axis of Symmetry = 2; Vertex (2, -3)

• Axis of Symmetry = -2; Vertex (-2, 5)

• Axis of Symmetry = 2; Vertex (2, -11)

If the equation, h = -16t² + 80t + 25 represents the pathway of a firework

on July 4th, what is the maximum

height the firework will reach?

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• 80 feet

• 90 feet

• 125 feet

• 140 feet