How do you identify the axis of symmetry and the vertex from the equation y=3(x+4)-22?

1 Answer
Apr 15, 2018

Do you mean y=3(x+4)^2-22?
If so, the axis of symmetry is x=-4

Explanation:

Notice the parabola is symmetric about the vertical line x=-4
graph{y=3(x+4)^2-22 [-9.34, 1.246, -22.45, -17.157]}
In the generic formula y=a(x-h)^2+k, (h,k) is the vertex and x=h is the axis of symmetry.

In your example, h is -4, so the axis of symmetry is x=-4