Use the method of completing the square to write the equations of the given parabola in this form:
(y-k)=a(x-h)^2
where a =0, (h, k) is the vertex, and x=h is the axis of symmetry.
find the vertex of this parabola: y=-4x^2+8x-12

The vertex is the point (1,-8)

Step-by-step explanation:

we have

Convert to vertex form

step 1

Group terms that contain the same variable, and move the constant to the opposite side of the equation

step 2

Factor the leading coefficient

factor -4

step 2

Complete the square. Remember to balance the equation by adding the same constants to each side

step 3

Rewrite as perfect squares

therefore

The vertex is the point (1,-8)

answer;

the correct answer

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step-by-step explanation: