Question

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

A. y/3 = f (x)
B. 3y = f (x)
C. 2y = f (x)
D. y/2 = f (x) ​

Answer 1

C. 2y = f(x)

Explanation:

Given that the black graph has a point at (4, 4) and the red graph has a point at (4, 2), we can see that the red graph is vertically compressed compared to the black graph. This compression indicates a vertical scaling factor of 2.

Since the red graph is vertically compressed by a factor of 2 compared to the black graph, the equation for the red graph should have the vertical scaling factor of 2 in the equation. Among the options provided, the correct equation for the red graph is:

C. 2y = f(x)