Questions: Sketch a graph of f. f(x) = 1/4 x^2

Transcript text: Sketch a graph of f . \[ f(x)=\frac{1}{4} x^{2} \]

Solution

Solution Steps

Step 1: Identify the function to be graphed

The function given is: \[ f(x) = \frac{1}{4} x^{2} \]

Step 2: Determine the type of graph

The function $ f(x) = \frac{1}{4} x^{2} $ is a quadratic function, which is typically graphed on a Cartesian coordinate system.

Step 3: Determine the range for the graph

For a basic sketch of a quadratic function, a typical range might be from $-10$ to $10$ for both $x$ and $y$ axes. However, since no specific range is provided, we will use a standard range.

Final Answer

The function to be graphed is: \[ f(x) = \frac{1}{4} x^{2} \]

{"axisType": 3, "coordSystem": {"xmin": -10, "xmax": 10, "ymin": -10, "ymax": 10}, "commands": ["y = (1/4)x**2"], "latex_expressions": ["$y = \\frac{1}{4}x^{2}$"]}

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