Question

What is the axis of symmetry of the parabola y= 1/3 (x-10)^2 - 6

Answer 1

The equation of the axis of symmetry is equal to

`x=10`

Explanation:

we have

`y=(1)/(3)(x-10)^2-6`

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

`x=10`