What is the vertex of #y= 3x^2 + 9x − 4 #?

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What is the vertex of #y= 3x^2 + 9x − 4 #?

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Answer 1 · 2016-03-09T16:52:18

#Vertex (-3/2, -43/4)#

Explanation:

x-coordinate of vertex:
#x = -b/(2a) = -9/6 = - 3/2#
y-coordinate of vertex:
#y(-2/3) = 3(9/4) - 9(3/2) - 4 = 27/4 - 27/2 - 4 = #
#= - 27/4 - 4 = - 43/4#
#Vertex (-3/2, -43/4)#

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What is the vertex of #y= 3x^2 + 9x − 4 #?

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