By using the vertex and the given point of the parabola, we conclude that the equation is:
y = -1*(x - 2)^2 + 2
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How to find the equation of the parabola?</h3>
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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