Find the axis of the graph of the function.
-$$f ( x ) = ( x + 2 ) ^ { 2 } + 6$$
A) $x = 0$
B) $x = - 2$
C) $y = - 2$
D) $x = 2$

Question

Quizplus · Accepted Answer

The axis of the graph of the function $f(x) = (x + 2)^2 + 6$ is the line that passes through the vertex of the parabola. The vertex form of a parabola is $f(x) = a(x - h)^2 + k$, where $(h, k)$ is the vertex. In this case, the function can be written as $f(x) = ((x + 2) - 0)^2 + 6$, indicating that the vertex is at $(-2, k)$. Therefore, the axis of symmetry is $x = -2$.

Find the Axis of the Graph of the Function f(x)=(x+2)2+6f ( x ) = ( x + 2 ) ^ { 2 } + 6f(x)=(x+2)2+6

Find the Axis of the Graph of the Function $f ( x ) = ( x + 2 ) ^ { 2 } + 6$