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Sagot :
Okay, here we have this:
Considering the provided equation in standard form, we are going to convert it to vertex form step by step, so we obtain the following:
y = -x²+ 12x -4
Considering that the model of an equation in standard form is y=ax²+bx+c. First we are going to axtract "a" from the first two terms:
y=-1(x²-12x)-4
Now, we are going to complete the square for the expressions with x, so we have:
y=-1(x²-12x+36-36)-4
y=-1((x - 6)²-36) -4
And, finally we are going to simplify:
y=-1(x - 6)²+36-4
y=-(x - 6)²+32
We obtain that the equation in vertex form is y=-(x - 6)²+32.
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