Question

Write a function rule using function notation that will translate a geometric figure 3 units up and 2 units left.

Answer 1

T(x, y) = (x - 2, y + 3)

Explanation:

The function rule that translates a geometric figure 3 units up and 2 units left can be expressed using function notation as follows:

Let's assume the original coordinates of a point in the geometric figure are represented by (x, y). To translate this point 3 units up and 2 units left, we can use the function:

T(x, y) = (x - 2, y + 3)

Here, T(x, y) represents the translated coordinates of the point. By subtracting 2 from the x-coordinate and adding 3 to the y-coordinate, we achieve the desired translation of moving the point 2 units left and 3 units up.