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(PLEASE HELP/NO SPAM) Which equation shows the function y=2^x translated 4 units left and 2 units down?

(PLEASE HELP/NO SPAM) Which equation shows the function y=2^x translated 4 units left-example-1

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Answer:

The answer is (h).

Explanation:

When y = 2^x is shifted 4 units left, the x shifts 4 units to the left and x becomes (x+4). When the graph is shifted to units down, y has to be subtracted by 2.

The function becomes

y = 2^(x+4) -2.

Finally, you shift -2 to the same side as y.

This becomes

y+2 = 2^(x+4) which is (h)

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