Question

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

How would you write the equation for the function g(x)?

Answer 1

Answer: (c)

Explanation:

Given

Function
`f(x)` is
`3* 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.