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Find the image of the point P(-4,-6) under the translation T(x, y) = (x + 10, y-6). What are the coordinates of the image point P'?

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Final answer:

The coordinates of the image point P' under the given translation is (6, -12).

Step-by-step explanation:

To find the image of point P(-4,-6) under the translation T(x, y) = (x + 10, y - 6), we need to apply the translation to the given coordinates.

Let's substitute the coordinates of P into the translation equation:

x' = x + 10 = -4 + 10 = 6

y' = y - 6 = -6 - 6 = -12

Therefore, the coordinates of the image point P' are (6, -12).

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