$\"\"$

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 $\"\"$ .

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\
f(x) = |x| + 7
\
\
x
\ \
f(x)
\
\
– 4
\ \
11
\
\
– 2
\ \
9
\
\
0
\ \
7
\
\
2
\ \
9
\
\
4
\ \
11
\
\

First, draw a co-ordinate plane.

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

$\"graph$

Observe the graphs, both graphs have same shape and

points on $\"\"$ are 7 units higher than the points on $\"\"$ .

The graph of $\"\"$ is the graph of $\"\"$ and translated 7 units up. $\"\"$

The graph of $\"\"$ is the graph of $\"\"$ and translated 7 units up.

\ f(x) = \|x\| + 7 \
\ x \	\ f(x) \
\ – 4 \	\ 11 \
\ – 2 \	\ 9 \
\ 0 \	\ 7 \
\ 2 \	\ 9 \
\ 4 \	\ 11 \