Question

Rectangle FGHJ is transformed according to the rule T(–3, –2)ry = x. What is the y-coordinate of J”?

Answer 1

we have that
 the point J (10,-6)
the rule is-----------(x,y)-------------------> (x-3, y-2)
therefore
J (10,-6)----------------- > (10-3,-6-2)--------> (7,-8)

the answer is 
the y-coordinate of J” is -8

Answer 2

Answer:

The y-coordinate of J'' is 8.

Step-by-step explanation:

The given rule of transformation is

$T(-3,-2)r_{y=x}$

It means, first the figure is reflected across the line y=x and then translated by the rule T(-3,-2).

From the given figure it is clear that the coordinates of point J are (10,-6).

If a figure is reflected across the line y=x, then

$(x,y)\rightarrow (y,x)$

The coordinate of point J'.

$J(10,-6)\rightarrow J'(-6,10)$

If a figure is translate by the rule T(-3,-2), then

$(x,y)\rightarrow (x-3,x-2)$

The coordinate of point J''.

$J'(-6,10)\rightarrow J''(-6-3,10-2)=J''(-9,8)$

Therefore the y-coordinate of J'' is 8.