Graphs of absolute value functions are V-shaped graphs.
We first find the vertex (the sharp point of the "V"}
1. Set what's inside the absolute value bars = 0 and solve
for x:
x = 0
2. Substitute that into the equation:
y=|x|+3
y=|0|+3
y=0+3
y=3
3. Plot the vertex (0,3)
4. Get a point on the right of
the vertex:
Let x=1
y=|x|+3
y=|1|+3
y=1+3
y=4
That's one point (1,4). Plot it:
5. Get a point on the left of
the vertex:
Let x=-1
y=|x|+3
y=|-1|+3
y=1+3
y=4
That's another point (-1,4). Plot it:
Draw the V-shaped graph:
Edwin