Answer:
the equation of the axis of symmetry is [tex]x=-4[/tex]
Step-by-step explanation:
Recall that the x-value of the vertex of a parabola of the form:
[tex]y=ax^2+bx +c[/tex]
is given by the expression:
[tex]x_{vertex}=-\frac{b}{2\,a}[/tex]
therefore, in our case the x-position of the vertex becomes;[tex]x_{vertex}=-\frac{b}{2\,a}=\frac{32}{-8} =-4[/tex]
and since the equation of the axis of symmetry is [tex]x=x_{vertex}[/tex]
Then, the equation of the axis of symmetry is [tex]x=-4[/tex]
