What is the vertex form of #y=x^2 - 9x + 2 #?

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What is the vertex form of #y=x^2 - 9x + 2 #?

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Answer 1 · 2015-11-24T02:51:08

Find vertex form of #y = x^2 - 9x + 2#

Ans: #y = (x - 9/2)^2 - 73/4#

Explanation:

Vertex #(x, y)#.
#x#-coordinate of vertex: #x = (-b/(2a)) = 9/2#
#y#-coordinate of vertex: #y = y(9/2) = (9/2)^2 - 9(9/2) + 2 = #
#= 81/4 - 81/2 + 2 = -81/4 + 2 = -73/4#
Vertex form --> #y = (x - 9/2)^2 - 73/4#

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What is the vertex form of #y=x^2 - 9x + 2 #?

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