Question

point $p$ is the image of $p(-2,4)$ under a translation by 2 units to the left and 5 units down. what are the coordinates of $p$? ( , )

Explanation:

Step1: Calculate new x - coordinate

Moving 2 units to the left means subtracting 2 from the x - coordinate of the original point. The original x - coordinate of point P is - 2. So, the new x - coordinate is $-2 - 2=-4$.

Step2: Calculate new y - coordinate

Moving 5 units down means subtracting 5 from the y - coordinate of the original point. The original y - coordinate of point P is 4. So, the new y - coordinate is $4 - 5=-1$.

Answer:

$(-4,-1)$