What is the vertex form of #y=(x+2) (2x+5) #?

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Answer 1 · 2017-12-21T22:05:29

#y=2*(x+9/4)^2-1/8#

#y=(x+2)*(2x+5)#

=#2x^2+9x+10#

=#2*(x^2+9/2x+5)#

=#2*(x^2+9/2x+(9/4)^2+5-(9/4)^2)#

=#2*(x^2+9/2x+(9/4)^2-1/16)#

=#2*(x+9/4)^2-1/16)#

=#2*(x+9/4)^2-1/8#