Question

(3,3)
(3, 1)
The black graph is y = f(x).
Choose the equation for
the red graph.
A. 3y = f(x)
B. y/3 = f(x)
C. 2y = f(x)
D. y/2 = f(x)

Answer 1

Answer:

(A) 3y = f(x)

Step-by-step explanation:

We are given two points, one on the black graph (y = f(x)), and one on the red graph. They have the same x-coordinate. This means that if we divide the y-coordinate of the red graph by the y-coordinate of the black graph, we will get the scale factor from black to red. In other words, multiplying f(x) by the scale factor will yield the red graph.

scale factor = 1 / 3

scale factor = 1/3

Therefore, the equation we can create for the red graph is:

y = (1/3)f(x)

Notice how we multiplied f(x) by the scale factor.

Now, multiplying both sides by 3 gives us answer choice A:

3y = f(x)