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Mathematics 11 Online
OpenStudy (vera_ewing):

Math question

OpenStudy (vera_ewing):

OpenStudy (vera_ewing):

A.

OpenStudy (vera_ewing):

B.

OpenStudy (vera_ewing):

C.

OpenStudy (vera_ewing):

D.

OpenStudy (vera_ewing):

@LynFran

OpenStudy (lynfran):

a reflection over the x-axis matrix is given as\[\left[\begin{matrix}1 & 0 \\ 0 & -1\end{matrix}\right]\]so we take each given points and multiply it to the matrix to get its corresponding image so ..\[R \left(\begin{matrix}-3 \\ 7\end{matrix}\right)*\left[\begin{matrix}1 & 0 \\ 0 & -1\end{matrix}\right]=R'\left(\begin{matrix}(-3)*1+0*7 \\ 3*0+7*-1\end{matrix}\right)=\left(\begin{matrix}-3 \\ -7\end{matrix}\right)\]likewise \[s'=\left(\begin{matrix}5 \\ -3\end{matrix}\right)\]and \[T'=\left(\begin{matrix}6 \\ 5\end{matrix}\right)\]

OpenStudy (vera_ewing):

Thanks!

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