Question

what are the coordinates of the point (-3,0) after a translation 2 units up? (-3,2) (-3,-2) (-1,0) (-5,0)

Explanation:

Step1: Recall translation rule for vertical movement

In a coordinate - plane, moving a point up means adding to the y - coordinate. The translation rule for moving a point $(x,y)$ up by $k$ units is $(x,y + k)$.

Step2: Identify the original point and the value of k

The original point is $(-3,0)$ and $k = 2$.

Step3: Apply the translation rule

For the point $(-3,0)$, when we move it 2 units up, we keep the x - coordinate the same and add 2 to the y - coordinate. So, $x=-3$ and $y=0 + 2=2$. The new point is $(-3,2)$.

Answer:

$(-3,2)$