Question

What is the equation of the axis of symmetry for the parabola y equals negative start fraction one over two end fraction left parenthesis x plus three right parenthesis squared minus five?x=-5x=-3x=-1/2x=3

Answer 1

For the equation,
y = 1/2(x+3)^2 -5
The vertice is (-3,-5). Therefore the axis of symmetry is X = -3.

Answer 2

the equation of the axis of symmetry for the parabola is:

`x=-3`

Explanation:

The equation of the parabola is given by:

`y=-(1)/(2)(x+3)^2-5`

We know that for the general equation of the parabola of the type:

`y=a(x-h)^2+k`

The vertex of the parabola is at (h,k)

and the axis of symmetry of the parabola is : x=h

Here after comparing the equation of parabola with the general equation of parabola we have:

`h=-3`

Hence, the axis of symmetry of the given parabola is:

`x=-3`