**Translations and Reflections**

**Sol A** Interchanging and gives the equation or equivalently
.

**Sol B** Replacing by gives or , and then
replacing by gives or .

**Sol C** Replacing by gives , and then replacing by
gives or .

**Sol 1** Replacing by and by gives
.

**Sol 2** Replacing by gives , and then replacing by
gives
or .

**Sol 3** Replacing by gives , and then replacing
by gives or .

**Sol 4** Shift 5 units to the left to get , and then reflect in
the y-axis to get or . Then reflect in the x-axis
to get or , and then shift 9 units up to get
or . (This is not the only solution.)

**Sol 5** Interchanging and gives , and then replacing by
gives .

**Sol 6** Replacing by gives or , and then
interchanging and gives .

**Sol 7** Interchanging and gives the equation , and then
replacing by gives or . Next replacing
by gives the equation
.

**Sol 8** Since
, we can
shift 3 units to the right to get
, reflect in the x-axis to
get
or
, and then shift 1 unit up to get
or
. (This is not the only solution.)

Return to the Problems for this
Topic.

Return to Precalculus Home Page.