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Oxana [17]
3 years ago
13

Graphing radical functions

Mathematics
1 answer:
daser333 [38]3 years ago
4 0

Answer:

D) y=4\sqrt{x+4}+3, because the graph is translated 4 left and 3 up.

Step-by-step explanation:

First, simplify the radical, do this by taking out \sqrt{16}. So the equation turns into \sqrt{16} * \sqrt{x+4}, which can be simplified to 4\sqrt{x+4}.

Then figure out the translations, to do this remember the form is y=a\sqrt{x-h}+k, where h is the x-value and k is the y-value. So, in this case, the x translation is -4 and the y is 3. It might seem like the x is positive, but remember since h is being subtracted you need to flip to sign to find the x translation. A negative x translation moves the graph left and a positive y value moves the graph up. Therefore, the answer is D.

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