Question

Which of the following functions indicates a shift downward 3 units from the function ƒ(x) = 2x ?

ƒ(x) = 23
ƒ(x) = 2(x+3)
ƒ(x) = 2x−3
None of these choices are correct.
ƒ(x) = 2x − 3

Answer 1

Option C: $f(x)=2x-3$ is the equation that shifts the function 3 units downward.

Explanation:

The given function is $f(x)=2 x$

Now, we shall shift the function 3 units downward.

To shift the function downwards, we shall subtract a constant from the outside of the function results the function to shift downwards.

The general form to shift the function downwards is given by

$y=f(x)-c$

Thus, substituting $f(x)=2 x$ and $c=3$ in the above expression, we have,

$y=2x-3$

Thus, the equation can be written as

$f(x)=2x-3$

Hence, the equation that shifts the function 3 units downward is $f(x)=2x-3$