Question

compositions of transformations practice. complete this assessment to review what youve learned. it will not co. if a figure needs to be reflected across the x - axis and is translated down 3, the mappings can be combined as. option #1: (x,y)→(x, - y - 3). option #2: (x,y)→(x,y - 3). option #3: (x,y)→(-x - 3,y). option #4: (x,y)→(x - 3,y). (1 point). the correct response is option #.

Explanation:

Step1: Reflection across x - axis

When a point $(x,y)$ is reflected across the $x$-axis, the $x$-coordinate remains the same and the $y$-coordinate changes its sign. So the mapping for reflection across the $x$-axis is $(x,y)\to(x, - y)$.

Step2: Translation down 3 units

A translation down 3 units means subtracting 3 from the $y$-coordinate of a point. After the reflection $(x,-y)$, when we translate it down 3 units, we get $(x,-y - 3)$.

Answer:

Option #1: $(x,y)\to(x,-y - 3)$