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If ABCDE is reflected over the x-axis and then translated 3units left, what are the new coordinates B?E..ADO A. (1, -2)O B. (7,-2)C. (4, -2)D. (-7,2)CBX

If ABCDE Is Reflected Over The Xaxis And Then Translated 3units Left What Are The New Coordinates BEADO A 1 2O B 72C 4 2D 72CBX class=

Sagot :

Recall that the rule of transformation for a point (x,y) reflected over the x-axis is:

[tex](x,y)\rightarrow(x,-y),[/tex]

and the rule of transformation for a point translataled n units to the left is:

[tex](x,y)\rightarrow(x-n,y).[/tex]

Therefore, point B(4,2) reflected over the x-axis:

[tex](4,2)\rightarrow(4,-2),[/tex]

and then translated 3 units to the left has as image the following point:

[tex](4,-2)\rightarrow(4-3,-2)=(1,-2).[/tex]

Answer:

[tex]\begin{equation*} (1,-2). \end{equation*}[/tex]

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