The vertex of a parabola is at (-4,-3). If one intercept is -9, what is the other x-intercept?

Question

The vertex of a parabola is at (-4,-3). If one intercept is -9, what is the other x-intercept?

Answer 1

The x-coordinate of the vertex is on the axis of symmetry, which would be x = -4 in this case. That means it's exactly halfway between the two intercepts. Since -9 is five units to the left of -4, the other intercept is 5 units to the right of -4, -4 + 5 = 1