Question

translate (-5, -4) to the right 2 units. then reflect the result over the y - axis. what are the coordinates of the final point?

Explanation:

Step1: Perform translation

To translate a point $(x,y)$ to the right by $a$ units, we use the rule $(x,y)\to(x + a,y)$. Here $x=-5,y = - 4,a = 2$. So, $(-5,-4)\to(-5 + 2,-4)=(-3,-4)$.

Step2: Perform reflection across y - axis

To reflect a point $(x,y)$ across the $y$-axis, we use the rule $(x,y)\to(-x,y)$. For the point $(-3,-4)$, we have $(-3,-4)\to-(-3),-4=(3,-4)$.

Answer:

$(3,-4)$