Question

I need immediate help.The exercise consists of finding the axis of symmetry for the equation below.

Answer 1

Step-by-step explanation

Our equation

`y=(1)/(3)(x+2)^2-1,`

is a quadratic equation. In simple words, it's a parabola, whose graph (red curve) is the following:

The axis of symmetry of a parabola is just the line dividing the parabola into its two arms. In the graph, the axis of symmetry is the blue vertical line. It's usually represented algebraically by

`x=\text{ The first component of the vertex}`

Answer

The axis of symmetry of our quadratic equation is

`x=-2`