Question

The black graph is y = f(x). Choose the equation for the red graph.

A. y = f (x/2)
B. y = f (2x)
C. y/2 = f (x)
D. 2y = f (x) ​

Answer 1

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.

hope it helps. pls mark me brain list :D