Quadratic Systems and Inequalities

Match the graph to its inequality.

• y > -x² - 5x - 6

• y > x² + x - 6

• y < x² - 5x + 6

• y < -x² - x + 6

Find the solution(s):
y = x² - 4x + 6
y = x + 2

• (1, 4)

• (-1, 1) and (4, 2)

• (1, 3) and (4, 6)

• (1, 4) and (3, 6)

Find the solution(s).

• (3,18) and (-4, 15)

• (5,2) and (5,-9)

• (-4,-4)

• (-4,2)

Which inequality is represented by the graph?

• y > -(x - 4)² + 1

• y > -(x - 1)² + 4

• y < (x - 4)² + 1

• y > (x + 4)² + 1

Identify the solutions to the system of quadratic inequalities. Select all that apply.

• {(0, 1)}

• {(1, 0)}

• {(-1, 0)}

• {(0, -1)}

Find the solution(s) to the system.

• (0,-3)(-1,-2)

• (0,-3)

• (-2,0)(2,0)

• No solution

• y ≥ -(x + 4)² + 1
• y < -(x - 4)² + 1
• y ≤ (x - 4)² + 1
• y ≤ -(x - 4)² + 1

Identify the solutions to the system of inequalities. Select all that apply.

• (0, 0)

• (4, 0)

• (0, 4)

• (-2, 0)

Which inequality is represented by the graph?

• y > (x - 3)² - 3

• y ≥ (x + 3)² - 3

• y > (x + 3)² - 3

• y ≥ (x - 3)² - 3

If a nonlinear system contains a linear function that never touches the quadratic function, that system has...

• 2 solutions

• 1 solution

• No solutions

• Infinite solutions