Question

point t is at (-3, 7). what are the coordinates of point t after $r_{y - axis}circ r_{x - axis}$? t=( ) ( )

Explanation:

Step1: Reflect across x - axis

When a point $(x,y)$ is reflected across the x - axis, the transformation rule is $(x,y)\to(x, - y)$. Given point $T(-3,7)$, after reflecting across the x - axis, the new point $T_1$ has coordinates $(-3,-7)$.

Step2: Reflect across y - axis

When a point $(x,y)$ is reflected across the y - axis, the transformation rule is $(x,y)\to(-x,y)$. For the point $T_1(-3,-7)$, after reflecting across the y - axis, the new point $T'$ has coordinates $(3,-7)$.

Answer:

$(3,-7)$