Question

what are the coordinate points of C' if c is transleated right 33 and down 10.
C=(-2,-3)

Answer 1

To find the new coordinates \( C' \) after translating the point \( C(-2, -3) \) right by 33 and down by 10, we apply the following transformations:

1. **Translation Right:** To move a point to the right, we add to the x-coordinate. Thus, we add 33 to the x-coordinate of point \( C \):
\[
x' = -2 + 33 = 31
\]

2. **Translation Down:** To move a point down, we subtract from the y-coordinate. Thus, we subtract 10 from the y-coordinate of point \( C \):
\[
y' = -3 - 10 = -13
\]

Putting these together, the coordinates of \( C' \) after the translation are:
\[
C' = (31, -13)
\]

So, the coordinate points of \( C' \) are \( (31, -13) \).