Question

The graph of f(x) = 3 . 2*-3 is shown below. g(x) is a transformation of f(x).

Answer 1

Answer: (c)

Step-by-step explanation:

Given

Function $f(x)$ is $3\times 2^x-3$

Also, $g(x)$ is the transformation of $f(x)$

From the graph, it is clear that $g(x)$ passes through the point $(0,5)$

Now check the option which satisfies the condition

option (c) seems to obey it

$g(x)=3\cdot 2^x+2\\g(0)=3\cdot 2^0+2\\g(0)=3\cdot 1+2\\g(0)=3+2\\g(0)=5$

Therefore, option (c) is correct.