What is the axis of symmetry and vertex for the graph #f(x) = -3x^2 + 3x - 2#?

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Answer 1 · 2017-05-27T06:15:30

Vertex #(1/2, -1 1/4)#
Axis of symmetry #x=1/2#

Given -

#y=-3x^2+3x-2#

Vertex
x - coordinate of the vertex

#x=(-b)/(2a)=(-(3))/(2 xx (-3))=(-3)/(-6)=1/2#

y - coordinate of the vertex

#y=-3(1/2)^2+3(1/2)-2=(-3)/4+3/2-2=(-3+6-8)/4=(-5)/4#

Vertex #(1/2, -1 1/4)#
Axis of symmetry #x=1/2#
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