Question

problem 4a point a has coordinates (-1,-1). what are the coordinates of the image of point a after a translation 3 units down?

Explanation:

Step1: Recall translation rule for y - coordinate

In a translation downwards, the x - coordinate remains the same and the y - coordinate changes. The rule for a translation of $k$ units down is $(x,y)\to(x,y - k)$. Here $x=-1$, $y = - 1$ and $k = 3$.

Step2: Calculate new y - coordinate

The new y - coordinate is $y_{new}=y - k=-1-3=-4$. The x - coordinate remains $x=-1$.

Answer:

$(-1,-4)$