How do you find the vertex of this equation: y = 6x-x2

(3,9)

Step-by-step explanation:

This is a quadratic equation.

A quadratic in standard form is .

If we compare to , we see there .

Now to find the vertex, we first find the x-coordinate of the vertex which is:

.

So now plug in our values:

So the corresponding y-coordinate can be found by the equation that relates x to y:  .

So we are plugging in 3 where we see x:  .

So the vertex is (3,9).

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step-by-step explanation: