Question

Fgh is first translated using the rule x,y >x+3,y-1this is followed by a 90 degrees counter clockwise rotation centered at the origin what are the coordinates of h

Answer 1

Answer:

Rule:

$h = (1 - y,x + 3)$

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: $(x + 3, y - 1)$

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:

$h = (-(y - 1),x + 3)$

$h = (1 - y,x + 3)$

If the initial point of h is (2,3),

The new point is:

$h = (1 - 3, 2 + 3)$

$h = (- 2, 5)$