Question

Graphing radical functions

Answer 1

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.