Question

Rhianna graphed a square root function. What is the equation of the function she graphed?

(1 point)
Responses

y=2x−4−−−−−√
y equals 2 Start Root x minus 4 End Root

y=2x+4−−−−−√
y equals 2 Start Root x plus 4 End Root

y=12x−4−−−−−√
y equals Start Fraction 1 over 2 End Fraction Start Root x minus 4 End Root

y=12x+4−−−−−√

Answer 1

To identify which equation represents a square root function, we need to analyze the format of the given options. A square root function typically has the form \( y = a\sqrt{x - h} + k \), where \( (h, k) \) is the vertex of the graph.

Looking at the choices:

1. \( y = 2\sqrt{x - 4} \)
2. \( y = 2\sqrt{x + 4} \)
3. \( y = \frac{1}{2}\sqrt{x - 4} \)
4. \( y = \frac{1}{2}\sqrt{x + 4} \)

All of these equations are square root functions, but to determine which one Rhianna graphed, we would typically need more context or information such as the vertex or the direction the graph opens.

If you're looking for the most classic form of a square root graph that opens upwards, both \( y = 2\sqrt{x - 4} \) and \( y = \frac{1}{2}\sqrt{x - 4} \) would represent shifts to the right and result in positive values.

Given this is a multiple-choice question, it seems more likely that the intention is to understand the structure of the function rather than a specific number. Without additional context (like a graph to refer to), any of the three options with \( (x-4) \) in the square root could be viable.

If you would like to select one from the choices without additional information about the graph, I recommend choosing one of the equations as they both represent a square root function with a shift.