What is the vertex form of #y= -5x^2-2x+24 #?

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Answer 1 · 2017-08-21T10:49:38

The vertex form is # y = -5(x+0.2)^2+ 24.2 #

#y = -5x^2-2x+24 or y = -5(x^2+2/5x) +24 # or

# y = -5(x^2+2/5x +1/25)+1/5 +24 # or

# y = -5(x+1/5)^2+ 121/5 # or

# y = -5(x+0.2)^2+ 24.2 #. Comparing with vertex form of

equation # y = a(x-h)^2 +k ; (h,k)# being vertex , we find here

#h= -0.2 , k =24.2# . So vertex is at # (-0.2,24.2)#.

The vertex form is # y = -5(x+0.2)^2+ 24.2 # [Ans]