Determine the axis of symmetry for the function f (x) = - 4 (x + 7) 2 - 3.

x = - 7

Step-by-step explanation:

The vertex form of this equation tells us it is a downward-opening parabola with its vertex at (-7, - 3). The line of symmetry is the vertical line through the vertex: x = - 7.

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Vertex form is ...

y = a (x - h) + k

where a is the vertical expansion factor, and (h, k) is the vertex. When a 0, it opens upward. (When a=0, the "parabola" is a horizontal line at y=k.)