What is the vertex form of #y= -3x^2 − 30x-4 #?

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Answer 1 · 2015-11-30T18:27:00

#-3(x+5)^2+71#

Factor as follows

#-3(x^2+10x)-4#

Complete the square

#-3(x^2+10x+25)-4+75#

We have to add on #75#. When we distribute the #-3#, we get #-3(25)=-75#

Rewrite

#-3(x+5)^2+71#

The vertex is at the point #(-5,71)#