Question

reflect point a over the dashed line. enter the new coordinates a = (?,?)

Explanation:

Step1: Identify reflection rule

When reflecting a point $(x,y)$ over the horizontal line $y = k$, the $x$-coordinate remains the same and the new $y$-coordinate is $2k - y$. Here the line is $y=-1$, and the point $A$ has coordinates $(-2,-4)$.

Step2: Calculate new y - coordinate

The $x$-coordinate of $A'$ is the same as that of $A$, so $x=-2$. For the $y$-coordinate, using the formula $y'=2\times(-1)-(-4)$. First, $2\times(-1)= - 2$, then $-2-(-4)=-2 + 4=2$.

Answer:

$(-2,2)$