Answer:
To determine the equation for the red graph when compared to the black graph y = f(x), we need to consider the transformations applied to the original function. Let's analyze the options:
A. y = f(x/2) - This stretches the graph horizontally (compressing it), making it narrower.
B. y = f(2x) - This compresses the graph horizontally (stretching it), making it wider.
C. y/2 = f(x) - This vertically stretches the graph, making it taller.
D. 2y = f(x) - This vertically compresses the graph, making it shorter.
The correct choice that corresponds to the red graph being taller is **C. y/2 = f(x)**. This choice represents a vertical stretch, causing the graph to appear taller along the y-axis compared to the original black graph.
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