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

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Answer 1 · 2017-02-04T11:39:55

The axis of symmetry is #x=-1/4#
The vertex is #=(-1/4,-25/8)#

We complete the squares

#f(x)=2x^2+x-3#

#=2(x^2+1/2x)-3#

#=2(x^2+1/2x+1/16)-3-2/16#

#=2(x+1/4)^2-25/8#

The axis of symmetry is #x=-1/4#

The vertex is #=(-1/4,-25/8)#

graph{2x^2+x-3 [-7.9, 7.9, -3.95, 3.95]}