The point B(2,2) translated 7 units left becomes B'(-5,2). In this horizontal transformation, the x-coordinate decreases by 7, resulting in a new position on the coordinate plane.
When a point is translated \(7\) units to the left, the x-coordinate decreases by \(7\). For the point \(B(2,2)\), subtract \(7\) from the x-coordinate:
\[ x' = 2 - 7 = -5 \]
So, the new x-coordinate is \(-5\). The y-coordinate remains unchanged in a horizontal translation.
Therefore, the new coordinates for point B after a leftward translation of \(7\) units are \((-5, 2)\). This means that the point \(B(2,2)\) has been moved \(7\) units to the left along the x-axis, resulting in the new coordinates \((-5, 2)\). The transformation involves shifting the entire point horizontally without changing its vertical position.