How do you graph #f(x) = |x| + 4#?

1 Answer
Jun 3, 2016

Answer:

See below

Explanation:

Consider #f(x)=|x|#

This is of general shape #vv# with the vertex at #(x,y)->(0,0)#
So it is symmetrical about the y-axis. This happens because no matter what value you use for #x# the consequential value of #y# is always positive.

Consider what happens next. Take every value of y and add 4 to it.

The consequence of this is that the general shape graph of V is lifted upwards by 4 graph{y=abs(x)+4 [-6, 6, -3, 10]}