Write an equation using a graph of a parabola

Question

This is kind of confusing. Is the equation created by using the vertex, focus, or axis of symmetry as based on the parabola?

The vertex is (2,-2)

The focus is (2,-4/9)

Axis of symmetry: x=2.

This parabola opens down.

The points based on the parabola:

(0,-6)

(1,-3)

(2,-2)

(3,-3)

(4,-6)

Answer 1

Hello Joshua,

Hopefully this helps!

By using the points you provided and plugging them into the graph, we can see that your equation should be:

x^2+4x-6

You can prove this by plugging in the x and y values into the equation and checking your work.

If you have any other questions, please let me know.

Thanks!