Answer:
Rule:
[tex]h = (1 - y,x + 3)[/tex]
Step-by-step explanation:
I will answer generally, since the coordinates of f, g and h are not given
Given
Point: x, y
Translation Rule
1 : x + 3, y - 1
2: 90 degree counterclockwise
Required
Determine the new coordinates
At the first translation of (x,y) by x + 3, y - 1
The new point is: [tex](x + 3, y - 1)[/tex]
At the second translation (90 degrees counterclockwise)
When a point (x,y) is translated using this rule, it becomes (-y,x)
So, the new point is:
[tex]h = (-(y - 1),x + 3)[/tex]
[tex]h = (1 - y,x + 3)[/tex]
If the initial point of h is (2,3),
The new point is:
[tex]h = (1 - 3, 2 + 3)[/tex]
[tex]h = (- 2, 5)[/tex]
