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

Jun 3, 2016

See below

#### Explanation:

Consider $f \left(x\right) = | x |$

This is of general shape $\vee$ with the vertex at $\left(x , y\right) \to \left(0 , 0\right)$
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]}