# How do you graph y= |x+4| by plotting points?

Oct 11, 2017

see below...

#### Explanation:

graph{y=abs(x+4) [-14.33, 5.67, -1.52, 8.48]}

Pick $x$-values that put a negative inside the absolute value...

Like : (note how the $x$ value changes... $- 8 , - 6 , - 4 , - 2$...You can choose the pattern of your choice...)

• $y = \left\mid - 8 + 4 \right\mid = \left\mid - 4 \right\mid = 4 \to \left(- 8 , 4\right)$
• $y = \left\mid - 6 + 4 \right\mid = \left\mid - 2 \right\mid = 2 \to \left(- 6 , 2\right)$
• $y = \left\mid - 4 + 4 \right\mid = \left\mid 0 \right\mid = 0 \to \left(- 4 , 0\right)$
• $y = \left\mid - 2 + 4 \right\mid = \left\mid 2 \right\mid = 2 \to \left(- 2 , 2\right)$
• $y = \left\mid 0 + 4 \right\mid = \left\mid 4 \right\mid = 4 \to \left(0 , 4\right)$
• $y = \left\mid 2 + 4 \right\mid = \left\mid 6 \right\mid = 6 \to \left(2 , 6\right)$