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)#