Which of the following functions has a graph that is symmetric about the $y$-axis? Select all that apply. A. $y=\frac{1}{x}$ B. $y=x^{3}$ C. $y=\sqrt{x}$ D. $y=|x|$

Step 1 ：A function is symmetric about the y-axis if and only if f(x) = f(-x) for all x in the domain of f. We can check each of the given functions to see if they satisfy this property.

Step 2 ：Check function A: $y=\frac{1}{x}$. It does not satisfy the condition f(x) = f(-x) for all x in the domain of f, so it is not symmetric about the y-axis.

Step 3 ：Check function B: $y=x^{3}$. It is only symmetric at x=0, so it is not symmetric about the y-axis.

Step 4 ：Check function C: $y=\sqrt{x}$. It is only symmetric at x=0, so it is not symmetric about the y-axis.

Step 5 ：Check function D: $y=|x|$. It satisfies the condition f(x) = f(-x) for all x in the domain of f, so it is symmetric about the y-axis.

Step 6 ：Final Answer: The function that is symmetric about the y-axis is \(\boxed{D. y=|x|}\).