What is the equation of the quadratic function with a vertex at (2,-25) and an x-intercept at(7,0)

The equation of the quadratic function is

Explanation:

The vertex form of the quadratic function is given by

It is given that the quadratic function has a vertex at

The vertex is represented by the coordinate

Hence, substituting in the vertex form, we get,

Now, substituting the x - intercept , we have,

Thus, the value of a is 1.

Hence, substituting , in the vertex form , we get,

Thus, the equation of the quadratic function is

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step-by-step explanation:

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