To determine the equation of the square root function graph that Jonathan graphed, I would need to know specific details about the graph itself, such as its vertex, horizontal or vertical shifts, and any transformations applied to the basic square root function form \( y = \sqrt{x} \).
The general form of a square root function can be expressed as:
\[ y = a\sqrt{x - h} + k \]
Where:
- \( a \) affects the vertical stretch or compression,
- \( (h, k) \) is the vertex of the graph, representing horizontal and vertical shifts respectively.
If Jonathan's equation is partially given as \( y = \frac{1}{2}\sqrt{x} - () \), it likely suggests a vertical shift down or up, denoted by the value in the parentheses.
To identify the exact equation, you'd need to provide the graph details or characteristics such as points on the graph, its vertex, and the direction in which it has been shifted. If you can provide any of that information, I'd be happy to help you derive the equation!
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