Suppose the equation of the axis of symmetry for a quadratic function is x = - 1 and one of the x-intercepts is 7. What is the other x-intercept?

The graph of a quadratic function is a parabola.

The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola. The x coordinate of the vertex is the equation of the axis of symmetry of the parabola.

Taking into account the definition above, then the other intersection with x will be:

horizontal distance between the axis of symmetry and intersection with x:

d = 7 - ( - 1) = 7 + 1 = 8

The second intersection will then be:

x2 = - 1-8 = - 9

Answer:

the other x-intercept is:

x2 = - 9