In order to graph the given absolute value function, we can make a table of values.
x | f(x)=∣x+4∣−4 | Simplified Absolute Value | f(x) |
---|---|---|---|
-10 | f(-10)=∣-10+4∣−4 | f(-10)=(6)−4 | 2 |
-8 | f(-8)=∣-8+4∣−4 | f(-8)=(4)−4 | 0 |
-6 | f(-6)=∣-6+4∣−4 | f(-6)=(2)−4 | -2 |
-4 | f(-4)=∣-4+4∣−4 | f(-4)=(0)−4 | -4 |
-2 | f(-2)=∣-2+4∣−4 | f(-2)=(2)−4 | -2 |
0 | f(0)=∣0+4∣−4 | f(0)=(4)−4 | 0 |
2 | f(2)=∣2+4∣−4 | f(2)=(6)−4 | 2 |
Now we can graph f(x) by plotting the points and connecting them with straight lines on either side of the vertex.