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Instructions: Given the vertex, fill in the vertex form of the quadratic function. Vertex: (−6,−5)

Question

Instructions: Given the vertex, fill in the vertex form of the quadratic function. Vertex: (−6,−5)

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Solution

The vertex form of a quadratic function is given by the formula:

f(x) = a(x-h)² + k

where (h, k) is the vertex of the parabola.

Given the vertex (-6, -5), we can substitute h with -6 and k with -5 in the formula. However, without the value of 'a' or another point on the parabola, we can't find the exact equation.

So, the equation of the quadratic function in vertex form, given the information, is:

f(x) = a(x - (-6))² - 5 or f(x) = a(x + 6)² - 5

This problem has been solved

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