Question

Which of the following describes the image of the transformation graphed to the right?A.) T(x,y)=(x+7,y-7)B.) T(x,y)=(x-7,y-7)C.) T(x,y)=(x+7,y+7)D.) T(x,y)=(x-7,y+7)

Answer 1

D.) T(x,y)=(x-7,y+7)

Explanation:

Function f(x,y).

Transformation along the x axis:

Moving a units to the left: We have f(x+a,y).

Moving a units to the right: We have f(x - a,y).

Transformation along the y axis:

Moving a units up: We have f(x, y-a).

Moving a units down: We have f(x, y+a).

In this question:

The function is moved 7 units to the right among the x-axis(x - 7) and 7 units down along the y axis(y + 7).

So the answer to this question is:

D.) T(x,y)=(x-7,y+7)