Question

use translations to graph the given function.\\( g(x) = \sqrt{x + 2} - 4 \\)\
part: 0 / 4\
part 1 of 4\
the parent function for \\( g(x) = \sqrt{x + 2} - 4 \\) is \\( f(x)=|x| \\)\\( f(x)=\sqrt3{x} \\)\\( f(x)=x \\)\\( f(x)=x^3 \\)\\( f(x)=x^2 \\) select

Explanation:

The parent function is the simplest form of the given function type. For \(g(x)=\sqrt{x+2}-4\), it is a transformed square root function, so its parent is the basic square root function.

Answer:

\(f(x)=\sqrt{x}\)