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.)