Question

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

Answer 1

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:

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

Answer:

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