Question

Qrs has coordinates q(4,1)r(1,-2) and s(2,3). find the coordinates of q" under the rule (x,y)->(x-3,y-4) and a reflection over the x axis

Answer 1

The final coordinates of point Q after the translation (x - 3, y - 4) and reflection over the x-axis are (1, 3).

Step-by-step explanation:

The student is asking how to find the transformed coordinates of point Q under a specific translation rule and a reflection over the x-axis. Initially, Q has coordinates (4,1). The rule provided is (x, y) -> (x - 3, y - 4). Applying this rule to Q, you subtract 3 from the x-coordinate and 4 from the y-coordinate, so Q' becomes (1, -3).

Now, to reflect Q' over the x-axis, you change the sign of the y-coordinate, so Q'' becomes (1, 3). Therefore, the final coordinates of Q'' after the translation and reflection are (1, 3).