Plot the image of point Q


under the translation (x,y)----> (x-3,y + 4)

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1 answer

To plot the image of a point \( Q \) under the translation given by the transformation \( (x, y) \rightarrow (x - 3, y + 4) \), we first need the coordinates of point \( Q \).

Let's say point \( Q \) has coordinates \( (x_Q, y_Q) \).

  1. Apply the translation:

    • The new x-coordinate will be: \( x_{Q'} = x_Q - 3 \)
    • The new y-coordinate will be: \( y_{Q'} = y_Q + 4 \)
  2. Coordinates of the image point:

    • The image of point \( Q \) after translation, denoted as \( Q' \), will have the coordinates \( Q' = (x_Q - 3, y_Q + 4) \).

If you provide the specific coordinates of point \( Q \), I can perform the translation calculation for you.