Question

Chelsea is graphing the function f(x) = 20()x. She begins by plotting the initial value. Which graph represents her first step?

Answer 1

we have the function

$f(x)=20(\frac{1}{4})^{x}$

we know that

In the equation of the exponential function of the form

$f(x)=a(b)^{x}$

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 $x=0$

$f(0)=20(\frac{1}{4})^{0}$

$f(0)=20(1)=20$

the initial value is the point $(0,20)$

therefore

the answer in the attached figure

Answer 2

The answer you are looking for is C. Hope this helps!