Solving Quadratics Graphically

Determine the solution to the given linear-quadratic function.

• (0, 0)

• (3, 0)

• (2, -3)

• (-3, 2)

Answer explanation

The correct roots of the quadratic equation are x = 0 and x = 4 after graphing the equation.

Use the graph to determine the solutions.

• -1 and -3

• 1 and -3

• 1 and 3

• -1 and 3

Answer explanation

The quadratic equation can be factored as (x-3)(x-3) = 0, which simplifies to (x-3)^2 = 0. Therefore, x = 3 is the only solution.

Use the graph to determine the solutions.

• -1 and -3

• 1 and -3

• 1 and 3

• -1 and 3

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Which ordered pairs are solutions to the system of equations shown on the graph below? Select all that apply.

• (-3,1)

• (-3,5)

• (0,-1)

• (1,-3)

Select the solutions to the equation

x² - 2x - 1 = 1

• x = -0.4

• x = 2.4

• x = -0.7

• x = 2.7

• (-3,0) and (6,0)

• (-1.5,0) and (2,0)

• (-3,0) and (3,0)

• (-.5,0) and (6,0)

How many solutions does this system of equations have?

• one solution

• two solutions

• no solutions

• All of the above