How do you graph #y>=x^2+2#?

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Answer 1 · 2017-07-29T06:30:15

See below

#y>=x^2+2#

First note that #y>=2 forall x in RR#

If we consider only the least case for #y# we have:

#y=x^2+2#

This is the standard parabolic function #y=x^2# transformed ("shifted") 2 units positive ("up") on the #y-#axis.

All points greater or equal to the least case are therefore shown as the shaded area on the graph below.

graph{y>=x^2+2 [-11.28, 11.22, -1.09, 10.16]}