Question

Graphing radical functions

Answer 1

D)
`y=4√(x+4)+3`, because the graph is translated 4 left and 3 up.

Explanation:

First, simplify the radical, do this by taking out
`√(16)`. So the equation turns into
`√(16) * √(x+4)`, which can be simplified to
`4√(x+4)`.

Then figure out the translations, to do this remember the form is
`y=a√(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.