Question

Given the two functions, which statement is true? fx = 3^4, g(x) = 3^x + 5

Answer 1

Answer:

$\boxed{\sf{Option \: 3}}$

Step-by-step explanation:

g(x) is translated up 5 units compared to f(x). In a vertical translation, when the graph is moved 5 units up, 5 is added to the function. When the graph is moved 5 units down, 5 is subtracted from the function. The graphs are shifted  in the direction of the y-axis.

Answer 2

Answer:

third option

Step-by-step explanation:

Given f(x) then f(x) + c represents a vertical translation of f(x)

• If c > 0 then shift up by c units

• If c < 0 then shift down by c units

Given

g(x) = $3^{x}$ + 5 ← this represents a shift up of 5 units

Thus g(x) is the graph of f(x) translated up by 5 units