Quadratic Inequalities and Graphing

What type of line is used for the inequality symbols ≤ and ≥?

• Dashed lines

• Solid lines

• Dotted lines

• Curved lines

For the inequality symbols < and ≤, where should you shade on the graph?

• Above the parabola

• Below the parabola

• On the parabola

• Inside the parabola

For the inequality symbols > and ≥, where should you shade on the graph?

• Below the parabola

• On the parabola

• Above the parabola

• Inside the parabola

In the practice problem y ≤ x² + 2x + 4, what type of line is used?

• Dashed line

• Solid line

• Dotted line

• Curved line

What should you not forget when solving quadratic inequalities?

• To use only solid lines

• To shade only above the parabola

• To use ≤ or ≥ for solid lines

• To ignore the x-axis

Solve the inequality: x² - 3x ≤ 18.

• [-3, 6]

• [0, 5]

• [-2, 4]

• [1, 7]

What are the solutions to the inequality x² + 5x < 6?

• (-3, -2)

• (-1, 0)

• (0, 1)

• (2, 3)

What are the solutions to the inequality x² + 11x + 30 ≥ 0?

• (-∞, -6] ∪ [-5, ∞)

• (-∞, -4] ∪ [-3, ∞)

• (-∞, -2] ∪ [1, ∞)

• (-∞, -1] ∪ [0, ∞)

What is the vertex form of the quadratic equation h(t) = -4.9t² + 32t + 1.2?

• h(t) = -4.9(t - 3.27)² + 52.2

• h(t) = -4.9(t - 1.5)² + 40

• h(t) = -4.9(t - 2)² + 30

• h(t) = -4.9(t - 4)² + 20

What is the axis of symmetry for the quadratic equation x² - 3x ≤ 18?

• x = 1.5

• x = 3

• x = -1.5

• x = 0