Question

which is the graph of the square root parent function?

Explanation:

The square root parent function is \( y = \sqrt{x} \). Its domain is \( x\geq0 \) (since we can't take the square root of a negative number in real numbers), and as \( x \) increases, \( y \) also increases (since the square root of a larger non - negative number is larger). Let's analyze each option:

• Option A: The graph seems to be decreasing and might have negative \( x \) values in its domain, which does not match \( y=\sqrt{x} \).
• Option B: The graph starts at \( x = 0 \) (or near \( x = 0 \)) and increases as \( x \) increases, which is consistent with the behavior of \( y=\sqrt{x} \).
• Option C: The graph is decreasing and has negative \( x \) values in its domain, not matching \( y = \sqrt{x} \).
• Option D: The graph has negative \( x \) values in its domain and the direction of increase/decrease is not consistent with \( y=\sqrt{x} \).

Answer:

B