Question

What is the equation of the function shown in the graph, given the equation of the parent function is f(x)=3.5^x ?

Answer 1

Answer:

$f(x) = 3.5^{x} - 2$

Step-by-step explanation:

See the graph attached to this question.

We have to determine which function is graphed here and the functions are given in the options.

The parent function is $f(x) = 3.5^{x}$ .......... (1)

The parent function passes through the points (0,1) and (1,3.5).

Now, the graphed function passes through the points (0,-1) and (1,1.5)

Therefore, the graphed function is translated by 2 units vertically downward from the parent function (1).

Therefore, the graphed function will be $f(x) = 3.5^{x} - 2$.

So, option 2 will be correct. (Answer)