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What are the coordinates of the point (−4, 2) after a translation 2 units left and 2 units up?

Responses

(−2, 4)
begin ordered pair negative 2 comma 4 end ordered pair

(−6, 4)
begin ordered pair negative 6 comma 4 end ordered pair

(−6, 0)
begin ordered pair negative 6 comma 0 end ordered pair

(−2, 0)

1 answer

To find the new coordinates of the point (−4, 2) after a translation of 2 units left and 2 units up, we can follow these steps:

  1. Translate left: Moving 2 units left means we subtract 2 from the x-coordinate: \(-4 - 2 = -6\)

  2. Translate up: Moving 2 units up means we add 2 to the y-coordinate: \(2 + 2 = 4\)

So, the new coordinates after the translation are \((-6, 4)\).

Thus, the correct answer is: \[ \text{(−6, 4)} \]