Question

If you have a quadratic equation in vertex form and it has values of a=3, h = -4 and k = 1, what equation would represent a line that would be its axis of symmetry?

Answer 1

Answer: x = -4

Explanation:

The axis of symmetry of a quadratic function in vertex form is a vertical line passing through the vertex. The equation of the axis of symmetry can be found using the x-coordinate of the vertex, which is given by h.

In this case, the quadratic equation is in vertex form y = a(x - h)^2 + k, where a = 3, h = -4, and k = 1. The x-coordinate of the vertex is h = -4.

Therefore, the equation of the line that represents the axis of symmetry is:

x = -4

This is because the axis of symmetry is a vertical line passing through the vertex at x = -4.