What is the axis of symmetry and vertex for the graph # y= -3x^2 + 12x - 8#?

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Answer 1 · 2017-02-16T06:14:17

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

Given -

#y=-3x^2+12x-8#

Vertex -

#x=(-b)/(2a)=(-12)/(2xx -3)=(-12)/-6=2#

At #x=2; y= (-3(2)^2+12(2)-8#

#y= (-3(4)+12(2)-8#
#y= -12+24-8=-20+24#
#y=4#

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