Question

point m is the image of m (5,5) under a translation by 3 units to the left and 11 units up. what are the coordinates of m? (\boxed{ },\boxed{ }) question help: \boxed{ }video

Explanation:

Step1: Handle x - coordinate translation

To translate a point \( (x,y) \) \( a \) units to the left, we use the rule \( x'=x - a \). Here, the original \( x \) - coordinate of \( M \) is \( 5 \) and we translate \( 3 \) units to the left. So, \( x'=5 - 3=2 \).

Step2: Handle y - coordinate translation

To translate a point \( (x,y) \) \( b \) units up, we use the rule \( y'=y + b \). Here, the original \( y \) - coordinate of \( M \) is \( 5 \) and we translate \( 11 \) units up. So, \( y'=5 + 11 = 16 \).

Answer:

\((2,16)\)