How do you find the axis of symmetry, graph and find the maximum or minimum value of the function #y = 2x^2 - 6x - 36#?

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Answer 1 · 2017-07-25T05:59:51

The function has a minimum at #x=1.5#

Axis of symmetry #x=1.5#

Given -

#y=2x^2-6x-36#
#dy/dx=4x-6#
#(d^2y)/(dx^2)=4>0#
#dy/dx=0 =>4x-6=0#
#x=6/4=1.5#

At #x=1.5; dy/dx=0;(d^2y)/(dx^2)>0#

The function has a minimum at #x=1.5#

Axis of symmetry #x=1.5#

Graph -

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