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

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asked Oct 15, 2023 186k views

1 Answer

Elsherbini · Answer 1 · 2023-10-20T05:09:55+0000

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

$(x,y)\rightarrow(x,-y),$

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

$(x,y)\rightarrow(x-n,y).$

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

$(4,2)\rightarrow(4,-2),$

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

$(4,-2)\rightarrow(4-3,-2)=(1,-2).$

$\begin{equation*} (1,-2). \end{equation*}$