What is the vertex form of $y= (x+1)(x-12)$ ?

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Answer 1 · 2018-06-03T08:06:20

$y=(x-11/2)^2-85/2$

$y=(x+1)(x-12)$

Expand,

$y=x^2-11x-12$

Make a perfect square,

$y=x^2-11x+(-11/2)^2-(-11/2)^2-12$

Simplify,

$y=(x-11/2)^2-85/2$ , where the vertex is $(11/2,-85/2)$

:D

What is the vertex form of y= (x+1)(x-12)y= (x+1)(x-12)?