Answer:
The equation of the axis of symmetry is equal to
[tex]x=10[/tex]
Step-by-step explanation:
we have
[tex]y=\frac{1}{3}(x-10)^2-6[/tex]
This is the equation of a vertical parabola written in vertex form open upward (because the leading coefficient is positive)
The vertex represent a minimum
The axis of symmetry is equal to the x-coordinate of the vertex
we have that
The vertex is the point (10,-6)
The x-coordinate of the vertex is 10
therefore
The equation of the axis of symmetry is equal to
[tex]x=10[/tex]
