Question

Graph and label each figure and it's image under the given reflection. give the new coordinates

Answer 1

The general rule for an x-axis reflection given a point (x,y) is:

`r_x(x,y)=(x,-y)`

if we apply the transformation to the points P,Q and R, we get:

`\begin{gathered} P=(-8,-6) \\ \Rightarrow P^(\prime)=r_x(-8,-6)=(-8,6) \\ Q=(-5,-2) \\ \Rightarrow Q^(\prime)=r_x(-5,-2)=(-5,2) \\ R=(2,-1) \\ \Rightarrow R^(\prime)=r_x(x,y)=(2,1) \end{gathered}`

and the graph would be the following: