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.

The graph below shows the parent function fx35x Which graph represents the function gx35x1 Choices are below class=
The graph below shows the parent function fx35x Which graph represents the function gx35x1 Choices are below class=

Respuesta :

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:

The solution in the attached figure

Step-by-step 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

[tex]f(x)=(3.5)^{x}[/tex]

The y-intercept is equal to

[tex]f(0)=(3.5)^{0}=1[/tex]

and

[tex]g(x)=(3.5)^{x}-1[/tex]

Find the y-intercept

[tex]g(0)=(3.5)^{0}-1=1-1=0[/tex]

so

the graph pass through the point [tex](0,0)[/tex]

The solution in the attached figure

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