Answer
Q (1, 3) will become Q' (-1, 1)
Step-by-step explanation
When a coordinate A(x, y) is translated horizontally along the x-axis by a units and vertically along the y-axis by b units, the new coordinates, A'(x', y') is represented as
A' [(x + a), (y + b)]
A' [(x + a), (y - b)]
A' [(x - a), (y + b)]
A' [(x - a), (y - b)]
All depending on how the coordinate is moved.
For this question, we are told that P (4, 1) is translated and becomes P' (2, -1)
We can find how many units the coordinates are translated along the x-axis and y-axis by saying
For the x-coordinate,
4 + a = 2
a = 2 - 4
a = -2 units
This indicates that the coordinate is translated by 2 units to the left along the x-axis.
For the y-coordinate,
1 + a = -1
a = -1 - 1
a = -2 units
This indicates that the coordinate is translated by 2 units downwards along the y-axis.
So, we have established that for P (4, 1) to become P' (2, -1), we will translate the coordinates given 2 units to the left along the x-axis and 2 units downwards along the y-axis.
So, Q (1, 3) will become
Q (1, 3) = Q' [(1 - 2), (3 - 2)]
= Q' (-1, 1)
Hope this Helps!!!