determine the parent function.\n$y = x^{3}$\n$y=sqrt{x}$\n$y=\frac{1}{x}$\ndone

determine the parent function.\n$y = x^{3}$\n$y=sqrt{x}$\n$y=\frac{1}{x}$\ndone

determine the parent function.\n$y = x^{3}$\n$y=sqrt{x}$\n$y=\frac{1}{x}$\ndone

Answer

Explanation:

Step1: Analyze the graph shape

The graph starts at the origin (0,0) and curves upward for x ≥ 0.

Step2: Compare with parent function characteristics

( y = x^3 ) is odd, defined for all x, with opposite quadrant behavior.
( y = \sqrt{x} ) is defined for x ≥ 0, starting at (0,0) and increasing with a decreasing slope.
( y = \frac{1}{x} ) is a hyperbola with two branches, undefined at x=0.

Answer:

B. ( y = \sqrt{x} )