$\"\"$

First find the minimum point of the graph.

Since absolute value function can not be negative,

the minimum point of the graph is where $\"\"$ . $\"\"$

The original function is $\"\"$ .

Set original function $\"\"$

$\"\"$

$\"\"$ (Subtract 7 from each side)

$\"\"$ (Apply additive inverse property: $\"\"$ )

$\"\"$ (Apply additive identity property: $\"\"$ ) $\"\"$

Next make at table, fill out the table with values for $\"\"$ and $\"\"$ .

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\
f(x) = |x + 7|
\
\
x
\ \
f(x)
\
\
– 2
\ \
5
\
\
– 1
\ \
6
\
\
0
\ \
7
\
\
1
\ \
8
\
\
2
\ \
9
\
\ First, draw a co-ordinate plane.

Locate the points on co-ordinate plane and draw the graph through these points.

$\"graph$ $\"\"$

The graph of the function $\"\"$ is

$\"graph$

\ f(x) = \|x + 7\| \
\ x \	\ f(x) \
\ – 2 \	\ 5 \
\ – 1 \	\ 6 \
\ 0 \	\ 7 \
\ 1 \	\ 8 \
\ 2 \	\ 9 \