Question

The vertex of a quadratic function is (5,-6), what is the equation of the axis of symmetry in this function?

Answer 1

x = 5

Explanation:

A quadratic equation:

f(x) = y = a*x^2 + b*x + c

Has a vertex in a point:

(h, k) such that:

h = -b/2a

and:

k = f(-b/2a)

And the axis of symmetry (this is the line that cuts the graph in two halves) is:

x = h.

In this case, the vertex is (5, -6)

Then the axis of symmetry is:

x = 5.