Question

C = (-5,1)
Jarvis wants to translate rectangle ABDC horizontally by −4 and vertically by +3 to produce rectangle A′B′D′C′. What will be the coordinates of C′ after Jarvis completes this translation?

Answer 1

To translate the point \( C = (-5, 1) \) horizontally by \(-4\) and vertically by \(+3\), we can apply the translation to the coordinates of point \( C \).

1. **Horizontal translation**:
- Move \( C \) horizontally by \(-4\):
\[
x' = -5 + (-4) = -5 - 4 = -9
\]

2. **Vertical translation**:
- Move \( C \) vertically by \(+3\):
\[
y' = 1 + 3 = 4
\]

Now, combining these translations, the new coordinates \( C' \) will be:
\[
C' = (-9, 4)
\]

Thus, the coordinates of \( C' \) after the translation are \(\boxed{(-9, 4)}\).