Point Q^1

Question

is the image of Q(0,6)

under the translation (X,Y---->(X+7,Y-5)

.
What are the coordinates of Q?
box,box

Answer 1

To find the coordinates of point \( Q^1 \) after the translation, you start with the original coordinates of point \( Q(0, 6) \) and apply the translation given by the rule \( (X, Y) \rightarrow (X + 7, Y - 5) \).

1. For the x-coordinate: \[ X' = 0 + 7 = 7 \]

2. For the y-coordinate: \[ Y' = 6 - 5 = 1 \]

So, the coordinates of \( Q^1 \) after the translation are \( (7, 1) \).

The final answer is: \( Q^1(7, 1) \)