Question

which is a graph of f(x)= SQ ROOT (x+3)? what is the parent function? explain the transformation

Answer 1

\[\sqrt{x+3}\]

Answer 2

parent function is sqrt(x)

and sqrt(x+3) is sqrt(x) shifted 3 units to the left.

you can confirm this by how sqrt(0) = 0
and sqrt((-3) + 3) = 0

Must be shifted 3 units to the left (with the point (-3, 0)) to behave like sqrt(x)

Answer 3

how would the graph look like?