Question

Find the intercepts. for both the x and y intercepts, make sure to do the following. if there is more than one, separate them with commas:x intercepts y intercepts

Answer 1

The intercepts to a curve are the lengths of the axes from the origin, at which the curve intersects the axes.

The given parabola intersects the x-axis two times, while the y-axis just once.

So the given parabola will have 2 x-intersepts, and 1 y-intercept.

Consider that the parabola intersects x-axis at (-2,0) and (4,0).

So the x-intercepts are -2 and 4.

Similarly, observe that the parabola intersects the y-axis at (0,-8).

So the y-intercept is -8.