How do you find the axis of symmetry, and the maximum or minimum value of the function y=2(x-2)^2-3y=2(x2)23?

1 Answer
May 30, 2017

Minimum

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

Axis of symmetry is x=+2x=+2

Explanation:

If you multiply out the brackets the highest order term is +2x^2+2x2

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)y=2(x2)23

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

So Axis of symmetry is x=+2x=+2

Tony B