What is the vertex form of $y= (2x-3)(x+5)-12x$ ?

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Answer 1 · 2017-03-21T17:59:17

Explained below

y=(2x-3)(x+5)

= $2x^2+7x-15-12x$

= $2x^2-5x-15$

= $2(x^2 -5/2 x)-15$

= $2(x^2 -5/2x +25/16 -25/16)-15$

= $2(x-5/4)^2 -15-25/8$

= $2(x-5/2)^2 -145/8$

This the required vertex form . Vertex is $(5/2, -145/8)$

What is the vertex form of y= (2x-3)(x+5)-12xy= (2x-3)(x+5)-12x?