Answer:
Refer the attached figure.
Step-by-step explanation:
Given : Chelsea is graphing the function
.
She begins by plotting the initial value.
To find : Which graph represents her first step?
Solution : We have given the exponential function.
The form of exponential function is ![y=a(b)^x](https://tex.z-dn.net/?f=y%3Da%28b%29%5Ex)
Where,
a is the initial value
b is the base
x is the exponent
On comparing the given function with exponential function we get, a=20 the initial value.
or
The initial value is the value of the function when the value of x is equal to zero.
So, In the given function put x=0
![f(0) = 20(\frac{1}{4})^0](https://tex.z-dn.net/?f=f%280%29%20%3D%2020%28%5Cfrac%7B1%7D%7B4%7D%29%5E0)
![y= 20(1)=20](https://tex.z-dn.net/?f=y%3D%2020%281%29%3D20)
The initial value is the point (0,20)
Now, we plot the graph which is the required result and represents her first step.
Refer the attached figure below.