Question #67e0f

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Answer 1 · 2017-03-18T18:34:15

The vertex form is #y=(x+8)^2+7#

We need

#a^2+2ab+b^2=(a+b)^2#

We complete the squares and factorise

#y=x^2+16x+71#

#y=(x^2+16x)+71#

#y=(x^2+16x+64)+71-64#

#=(x+8)^2+7#

The vertex is #V=(-8,7)#

graph{x^2+16x+71 [-35.51, 15.84, -2.09, 23.56]}