Question

Hello! I hope you're having a great day. If you could please help solve these 2 questions I would very much appreciate it c:

Answer 1

1. x=3

2. x=-1

Explanation:

1. You are given the equation of the parabola in the vertex form. From the equation

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

you can state that the point (3,5) is the vertex of the parabola.

The axis of symmetry of the parabola is vertical line that passes through the vertex. Hence, its equation is x=3

2. You are given the equation of the parabola in the vertex form. From the equation

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

you can state that the point (-1,-3) is the vertex of the parabola.

The axis of symmetry of the parabola is vertical line that passes through the vertex. Hence, its equation is x=-1