Question

Which equation written in two variables is equivalent to this function?

f(X) = 2(x + 4)
A. y=2(x) - A)
B. y=-2x + 4
C. y=-218x) + 4)
D. y= 2(x-4)

Answer 1

The given function f(x) = 2(x + 4) expands to y = 2x + 8, which is not exactly listed in the answer choices. If option A was intended to be y = 2x + 8, it would be correct, but with the options as they are, none match.

Step-by-step explanation:

To find which equation in two variables is equivalent to the function f(x) = 2(x + 4), we need to express this function in the form of y = mx + b, where m is the slope and b is the y-intercept.

Starting with the given function:

• f(x) = 2(x + 4)

Expanding the function, we get:

• f(x) = 2x + 8

Now, since f(x) is equivalent to y in a two-variable equation:

• y = 2x + 8

Comparing this with the given choices, none of the options exactly matches this equation. However, option A seems to have a typo. If it were corrected to y = 2x + 8, it would then be equivalent to the given function.

Without any corrections to the options, none of the listed answers (A, B, C, D) is correct.