Question

The graph below shows the parent function f(x)=(3.5)^x.

Which graph represents the function g(x)=(3.5)^x−1.

Choices are below.

Answer 1

Its the last option on the right.

When x = 1, 3.5^(1-1) = 1 and when x = 2 , 3.5^(2-1) = 3.5

The graph is a transformation of 3.5^x of 1 unit horizontally to the right.

Answer 2

The solution in the attached figure

Explanation:

We know that

The y-intercept of a function is the value of y when the value of x is equal to zero

In this problem we have

`f(x)=(3.5)^(x)`

The y-intercept is equal to

`f(0)=(3.5)^(0)=1`

and

`g(x)=(3.5)^(x)-1`

Find the y-intercept

`g(0)=(3.5)^(0)-1=1-1=0`

so

the graph pass through the point
`(0,0)`

The solution in the attached figure