Question

Use the vertex and a point on the parabola to write an equation in vertex form for the quadratic graph.

Answer 1

By using the vertex and the given point of the parabola, we conclude that the equation is:

y = -1*(x - 2)^2 + 2

How to find the equation of the parabola?

For a parabola with a leading coefficient a and a vertex (h, k), the vertex form is:

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

In this case, we can see that the vertex is (2, 2), replacing that we get:

y = a*(x - 2)^2 + 2

We also can see that the parabola passes through (0, -2) replacing that in the above equation we get:

-2 = a*(0 - 2)^2 + 2

-2 = a*4 + 2

-2 - 2= a*4

-4 = a*4

-4/4 = a

-1 = a

Then the equation for the parabola is:

y = -1*(x - 2)^2 + 2

Learn more about parabolas:

brainly.com/question/4061870

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