we know that
The equation in vertex form of a vertical parabola is equal to
where
(h,k) is the vertex of the parabola
and the axis of symmetry is equal to the x-coordinate of the vertex
so
-----> equation of the axis of symmetry
In this problem we have
Convert to vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
the vertex is the point
therefore
<u>the answer is</u>
The axis of symmetry is
see the attached figure to better understand the problem
