we have the function
[tex]f(x)=20(\frac{1}{4})^{x}[/tex]
we know that
In the equation of the exponential function of the form
[tex]f(x)=a(b)^{x}[/tex]
a is the initial value
b is the base
x is the exponent
The initial value is the value of the function when the value of x is equal to zero
in this problem
for [tex]x=0[/tex]
[tex]f(0)=20(\frac{1}{4})^{0}[/tex]
[tex]f(0)=20(1)=20[/tex]
the initial value is the point [tex](0,20)[/tex]
therefore
the answer in the attached figure
