translate the point (5,2)—> 3 units to the left
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Given:
The point (5,-2) is translated 3 units to the left.
To find:
The new location of the point.
Solution:
If a point is translated 3 units to the left, then
[tex](x,y)\to (x-3,y)[/tex]
Using this rule of translation, we get
[tex](5,-2)\to (5-3,-2)[/tex]
[tex](5,-2)\to (2,-2)[/tex]
Therefore, the new location of the point is (2,-2). Hence, the correct option is C.