Question

composition function
$r_{y - axis}circ t_{<2, - 3>}$
determine the final coordinate of a\.
type your answer in coordinate form. for example, you can type point a as (1, 6)
a (1,6)
b (2,4)
c (-2,2)

Explanation:

Step1: Apply translation

The translation $T_{<2,-3>}$ means we add 2 to the x - coordinate and subtract 3 from the y - coordinate of point A(1,6).
$x_1=1 + 2=3$, $y_1=6-3 = 3$. So the new point after translation is A'(3,3).

Step2: Apply reflection across y - axis

The rule for reflecting a point $(x,y)$ across the y - axis is $(-x,y)$. For point A'(3,3), after reflection across the y - axis, $x_2=-3$, $y_2 = 3$.

Answer:

(-3,3)