Problem 6) Suppose a point is translated from \( (3,2) \) to \( (5,2) \) on the coordinate plane. What equation describes this transformation? (1 point) \( f(x)=x+6 \) \( f(x)=x+10 \) \( f(x)=x-3 \) \( f(x)=x+2 \)

In this case, the point moves horizontally from \( (3,2) \) to \( (5,2) \). This transformation involves a translation along the x-axis. The equation that describes this transformation is \( f(x) = x + 2 \), since adding 2 to the x-coordinate of 3 gives you the new x-coordinate of 5. A common mistake students make in such translation problems is confusing vertical and horizontal shifts. In this scenario, there's no change in the y-coordinate, so it's crucial to focus only on the x-coordinate's shift. Remember, for horizontal translations, just adjust the x-value in the function!