The point ( 6, 9 ) is on the graph of a function. Give the coordinates of the corresponding point on the
new graph after the following transformation is applied to the function: vertical translation by −3

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Veritical translation by -3 means you are moving "down" 3 units. In this case, the "6" in the point (6,9) is the x-coordinate, which is responsible for the horizontal position of the point. Therefore, we don't need to change it since we are only dealing with the vertical translation. Now, to vertically translate by -3 we simply need to take the y-coordinate (in this case, the "9") and subtract 3 from it... 6. Therefore, the final coordinate of the point on the new graph would be (6,6).

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Sep 6th, 2015

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