Question

What is the image point of (-7,3) after the transformation rx-axis o R180º?

Answer 1

`r_(x-axis)\circ R_(180)`

In a composite transformation as given you make first the transformation in the right and then the transformation in the left.

For the given point: (-7, 3)

1. Rotation 180°

`\begin{gathered} P(x,y)\rightarrow P^(\prime)(-x,-y) \\ \\ P(-7,3)\rightarrow P^(\prime)(7,-3) \end{gathered}`

2. Reflection over x-axis:

`\begin{gathered} P^(\prime)(x,y)\rightarrow P^(\prime)^(\prime)(x,-y) \\ \\ P^(\prime)(7,-3)\rightarrow P^(\doubleprime)(7,3) \end{gathered}`

Then, the image of given point after the composite transformation is (7,3)