Find the axis of symmetry of the parabola defined by the given quadratic function.
-$$f ( x ) = ( x + 4 ) ^ { 2 } + 9$$
A) $x = - 4$
B) $x = 4$
C) $\mathrm { y } = 9$
D) $y = - 9$

Question

Quizplus · Accepted Answer

The axis of symmetry of a parabola with equation $y=a(x-h)^2+k$ is the vertical line passing through the vertex $(h,k)$. In this case, the given quadratic function is in vertex form, where the vertex is $(-4,9)$. Therefore, the axis of symmetry is the vertical line $x=-4$, which is choice A.

Find the Axis of Symmetry of the Parabola Defined by the Given