The square root parent function represents the simplest form of the square root equation. We need to identify which of the given options correctly represents this function.
A. [tex]\( F(x) = \sqrt{x} + 1 \)[/tex]
- Here, the equation involves a square root but it also includes an additional term "+1". This is not the simplest form of the square root function.
B. [tex]\( F(x) = \sqrt{x} \)[/tex]
- This equation represents the simplest form of a square root function.
C. [tex]\( F(x) = x \)[/tex]
- This equation is a linear function and does not involve any square roots.
D. [tex]\( F(x) = x^2 \)[/tex]
- This equation is a quadratic function, not a square root function.
Therefore, the correct choice for the square root parent function is:
B. [tex]\( F(x) = \sqrt{x} \)[/tex]
