The equation of the parabola as described in the task content is; f (x) = -3 (x - 5)² + 9.
<h3>What is the equation of the parabola as described in the task content?</h3>
It follows from the task content that the equation of the parabola which has the same shape as f(x)=-3 x² but with vertex (5,9) in the form f (x) = a (x-h)² + k be determined.
Recall that the vertex of a quadratic equations of the given form is defined by the coordinates (h, k).
On this note, the required equation of the parabola by substitution of h and k is;
f (x) = -3 (x - 5)² + 9.
Read more on vertex form equation;
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