From the graph of the quadratic function $f ( x ) = ( x + 6 ) ^ { 2 } - 1$ , determine the equation of the axis of symmetry.
A) $x = - 6$
B) $x = - 1$
C) $x = - \frac { 1 } { 6 }$
D) $x = 1$
E) $x = 6$

Question

Quizplus · Accepted Answer

The axis of symmetry for a quadratic function in the form $f(x) = (x - h)^2 + k$ is given by $x = h$. For $f(x) = (x + 6)^2 - 1$, the equation is in the form $f(x) = (x - (-6))^2 + k$, so the axis of symmetry is $x = -6$.

From the Graph of the Quadratic Function f(x)=(x+6)2−1f ( x ) = ( x + 6 ) ^ { 2 } - 1f(x)=(x+6)2−1

From the Graph of the Quadratic Function $f ( x ) = ( x + 6 ) ^ { 2 } - 1$