Question

10
select the correct location on the graph.
$g(x) = x^2 + 6x + 2$
which of the lines on the graph is the axis of symmetry for the function above?

Explanation:

Step1: Recall axis of symmetry formula

For quadratic $ax^2+bx+c$, axis is $x=-\frac{b}{2a}$

Step2: Identify coefficients

$a=1$, $b=6$

Step3: Calculate the value

$x=-\frac{6}{2\times1}=-3$

Answer:

The axis of symmetry is the vertical line $x=-3$ (the vertical grid line passing through $x=-3$ on the graph).