The equation of the given parabola in vertex form is; y = 3(x - 6)² - 6
<h3>What is the equation of the Parabola?</h3>
The general form of the equation of a parabola in vertex form is;
y = a(x - h)² + k
where the vertex is the coordinate (h, k)
Now, we are given that the vertex is (6, -6). Thus;
(h, k) = (6, -6)
We are also told that the line passes through the point (8, 6). Thus;
x = 8, y = 6
Finally, the equation of the parabola would be gotten by plugging in the relevant values into the general parabola equation to first get a;
6 = a(8 - 6)² - 6
12 = 4a
a = 12/4
a = 3
Thus, the equation is; y = 3(x - 6)² - 6
Read more about Equation of Parabola at; brainly.com/question/4061870
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