9.1 Solving Quadratic Equations by Graphing

What are the solutions of this graph?

• (-2,0) and (3,0)

• (-0.5,0) and (-6,0)

• (-2,0) and (-6,0)

• (3,0) and (-6,0)

Find the solutions from the table.

• (0, 8) and (3, -1)

• (0, 8) only

• (3, -1) only

• (2, 0) and (4, 0)

What are the solutions?

• (0,0) and (8,0)

• (-2,0) and (-4,0)

• (3,0) and (-1,0)

• (2,0) and (4,0)

What is another word that describes the zeroes of a quadratic function?  

• y-intercepts

• vertex

• x-intercepts

• maximum

If the graph of a quadratic does not intercept the x-axis at any point, then it has:

• 1 Real Solution

• 2 Real Solutions

• Half a Solution

• No Real Solution

True or false:
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.

• True

• False, because the solution and root are the same but the x-intercept and zero are different

• False, because the x-intercept and root are the same but the zero and solution are different

• False, they are all different

Which of the following statements are true about the quadratic function graphed above?

• The function has a root at (-2, 0)

• The function has 2 solutions at (-2, 0) and (0, 4)

• The function has no real solutions

• The function has one real solution and one imaginary solution

What are the factors (not roots) of the quadratic equation that is graphed?

• (x+3)(x+7)

• (x-3)(x-7)

• (x+1)(x-5)

• (x+2)(x-4)

What is the name of the graph of a quadratic equation?

• paramedic

• parabola

• ebola

• parentheses

How many solutions can a quadratic equation have?

• No solution

• always one solution

• always two solutions

• none, one, or two