Question

What transformation has changed the parent function f(x) = 3(2)x to its new appearance shown in the graph below?

exponential graph passing through point 0, 1.

f(x) + 2
f(x) − 2
f(x + 2)
f(x − 2)

Answer 1

f(x − 2)

Explanation:

thats the right answer

Answer 2

Second Option

f(x) − 2

Explanation:

The function
`y=3 (2) ^ x` passes through point (0, 3) because:

`f (0) = 3 (2) ^ 0 = 3 (1) = 3`

Then, if the transformed function passes through the point (0, 1) then this means that the graph of
`y = 3 (2) ^ x` was moved vertically 2 units down.

The transformation that displaces the graphically of a function k units downwards is:

`y = f(x) + k`

Where k is a negative number. In this case
`k = -2`

Then the transformation is:

`y = f(x) -2`

and the transformed function is:

`y = 3(2) ^ x -2`