Question

a student correctly graphed the parabola shown below to solve a given quadratic equation.

graph of a parabola opening upwards, symmetric about the y-axis, intersecting the x-axis at two points

what are the roots of the quadratic equation associated with this graph?

(1) -6 and 3 (2) -6 and 0 (3) -3 and 2 (4) -2 and 3

your answer

Explanation:

Step1: Identify x-intercepts

The roots of the quadratic equation are the x-values where the parabola crosses the x-axis. From the graph, the parabola intersects the x-axis at $x=-3$ and $x=2$.

Step2: Match with options

Compare the identified x-intercepts to the given multiple-choice options.

Answer:

(3) -3 and 2