The function f(x) = -x² + 8x-7 is translated five units down. Write the new equation in vertex form and state the vertex.

The resulting equation in the vertex form is   having the vertex at the point (4,4).

Step-by-step explanation:

The given function is f(x) = -x² + 8x-7.

As the given function is translated 5 units down, so, subtract 5 units in the given function.

The resulting function, y = f(x) -5

Now converting the obtained equation to vertex form,

Adding and subtraction 4 as

The vertex of the above equation is (4,4).

Hence, on translating five units in the downwards direction, the resulting equation in the vertex form is   having the vertex at the point (4,4).

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step-by-step explanation: