Define a quadratic function y=f(x) that satisfies the given conditions,

vertex (5, -1) and passes through (0, -76).

f(x)=

The quadratic function f(x)=15x-76

Solution:

As given in the problem, the two points are and

We know the slope

Now substituting the value of points we get,

We know the equation of a line at a given point is

Let us take the point (5,-1) for the equation, then we get

Multiplying the signs,

Hence, the function f(x) is

2.83941151 would be the answer you're looking for! : )

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step-by-step explanation: