Question

Determine the axis of symmetry of the graph of the following parabola.

f(x) = 4(x +15)2 +4
Give your answer in the form c = h.

Answer 1

x = -15

The axis of symmetry for the parabola represented by the function f(x) = 4(x +15)^2 +4 is x = -15.

Step-by-step explanation:

The axis of symmetry of the graph of the parabola given by the function f(x) = 4(x +15)2 +4 can be determined by looking at the general form of a quadratic function, which is f(x) = a(x - h)2 + k. In this form, the vertex of the parabola is at the point (h, k) and the axis of symmetry is the vertical line x = h. Comparing the given function to the vertex form, we can see that h = -15. Therefore, the axis of symmetry for the parabola is x = -15.