Solving Equations and Inequalities Graphically

Determine the solution to the given linear-quadratic function.

• (0, 0)

• (3, 0)

• (2, -3)

• (-3, 2)

Which of the following graphs correctly represents:

y=x²

y=-2x+1

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Which ordered pair is a solution to the given system of inequalities?

• (0, 6) 

• (-1, 4)

• (2, 1)

• (3, 4)

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

• {(0, 1)}

• {(1, 0)}

• {(-1, 0)}

• {(0, -1)}

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Which of the following represents the first step in solving:

y = x² + 3x - 5

y = x + 3

• x² - 3x + 5 = x - 3

• x² + 3x - 5 = x + 3

• x² + 3x - 5 + x + 3 = 0

• x² + 3x - 5 = 0

Solve each system by graphing

• No Solution

• Infinite Solutions

• (0, -2)

• (1, 0)

Match the system to the graph (solution set is on the left)

• y ≤ 3x   and  y ≤ -2x + 4

• y > 3x   and  y > -2x + 4

• y < 3x   and  y > -2x + 3

• y > 3x   and  y < -2x + 4

Solve each system by graphing

• (-1, -1)

• (1, 1)

• (-2, 0)

• (0, -2)

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph

• Don't touch

• Intersect

• Exist