How do you graph # f(x)=x^2+2#?

1 Answer
Feb 10, 2018

#f(x)# has the graph of the standard parabolic function #y=x^2# shifted by 2 units positive ("Up") on the #y-#axis.

Explanation:

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

Consider the standard parabolic function #y=x^2# and realise that:

#f(x) =y+2#

Hence, #f(x)# has the graph of the standard parabolic function #y=x^2# shifted by 2 units positive ("Up") on the #y-#axis.

So, #f(x)# is a concave up parabola and has an absolute minimum value of #2# at #x=0#. The graph of #f(x)# is ahown below.

graph{x^2+2 [-13.04, 12.27, -1.41, 11.25]}