Question

The solutions to a quadratic equation are x = 2 or x = -3. What are the x-intercepts of the related quadratic function?

Answer 1

the x-int are the solutions of the parabola

Answer 2

so in this case it means that the parabola hits the x-axis two times and in the points of 2 and -3

Answer 3

You can investigate the x-intercepts by using the discriminant:
\[\Delta=b^2-4ac\]
Since a quadratic equation has the form \(ax^2+bx+c\) we can determine via the discriminant how the relative equations will vary and their x-interceptions as well, since the discriminant allows us to determine if they have one, two or no x-interception at all.