find the vertex gx 2x2 8x 13 I did this the same way I wo

find the vertex: g(x) = -2x² – 8x – 13 I did this the same way I would have for f(x), is that correct? (-2.-5) being the answer

Solution

We have g(x) = -2x² -8x -13 = -2(x² + 4x + 4) + 8 -13 = -2(x+2)² -5. We know that the vertex form of the equation of a parabola is y = f(x) = a(x -h)² + k. This parabola has vertex at (h,k).Here, h = -2 and k = -5. Therefore, the given parabola has its vertex at ( -2, -5).

Note:

f(x) or g(x) is a notation only. It is the expression which matters.