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The graph shows a reflection in the x-axis. The matrix M such that, for any point (x, y), M(x, y) = (x', y') is

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The graph shows a reflection in the xaxis The matrix M such that for any point x y Mx y x y is Note Both attachments below are regarded to this question class=
The graph shows a reflection in the xaxis The matrix M such that for any point x y Mx y x y is Note Both attachments below are regarded to this question class=

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Answer:

This is a reflection about the x-axis.


Step-by-step explanation:

A reflection about the x-axis has the rule

[x,y]-> [x,-y].

Therefore

M[x,y] = [x,-y}

Let M=

|a  b|

|c  d|

Then the matrix multiplication gives

ax+by=x.............(1)

cx+dy=-y............(2)

Solving the previous equations (1) and (2) gives

a=1, b=0

c=0, d=-1

giving M as

|1  0|

|0 -1|


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