How do you find the axis of symmetry, and the maximum or minimum value of the function #y=2(x-2)^2-3#?

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Answer 1 · 2017-05-30T16:36:23

Minimum

Vertex #->(x,y)=(+2,-3)#

Axis of symmetry is #x=+2#

If you multiply out the brackets the highest order term is #+2x^2#

As this is positive the graph is of form #uu# thus we have a minimum/

Consider #color(green)(y=2(xcolor(red)(-2))^2color(red)(-3)#

Then Vertex #->(x,y)=(color(red)(+2,-3))#

So Axis of symmetry is #x=+2#

Tony B