CorbanO175462 CorbanO175462
  • 25-10-2022
  • Mathematics
contestada

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

graph and label each figure and its image under the given reflection give the new coordinates class=

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LibradoR478521 LibradoR478521
  • 25-10-2022

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

[tex]r_x(x,y)=(x,-y)[/tex]

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

[tex]\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}[/tex]

and the graph would be the following:

Ver imagen LibradoR478521
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