Write the translation of point p (2,-9) to point p'(0,-12)

  (x, y) ⇒ (x -2, y -3)

Step-by-step explanation:

The x-coordinate of P is reduced by 2 to make the x-coordinate of P'. This is a shift left by 2 units.

The y-coordinate of P is reduced by 3 to make the y-coordinate of P'. This is a shift down by 3 units.

Such a translation can be represented using a number of different notations. Choose one your grader expects to see. Some possibilities might be ...

  (x, y) ⇒ (x -2, y -3)

  T(-2, -3)

  translation by (-2, -3)

  g(x) = f(x+2) -3