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

               (Add 2 to each side)

                     (Additive inverse property: )

                                (Additive identity property: )

The original function is .

Set original function

                (subtract 4 from each side)

                      (Additive inverse property: )

                             (Additive identity property: )

Next make at table, fill out the table with values for x > -2 and  x < -2.

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

\ f(x) = |x+4| \	\ f(x) = \	\ |x-2| \
\ x \	\  f(x) \	\ x \	\ f(x) \
\ -2 \	\ 2 \	\   \ -2 \	\   \ 4 \
\ -1 \	\ 3 \	\   \ -1 \	\   \ 3 \
\ 0 \	\ 4 \	\   \ 0 \	\   \ 2 \
\ 1 \	\ 5 \	\   \ 1 \	\   \ 1 \
\ 2 \	\ 6 \	\   \ 2 \	\   \ 0 \

\

First, draw a co-ordinate plane.

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

Observe the graphs, both graphs have same shape and

points on  and have  graphs related point (-1,3).

The two graphs have in common point is (-1,3). Yes

b)Yes,