A) k=2 is the right answer
Step-by-step explanation:
The downward funtion transformation is defined as:
f(x) => f(x)-b where b is an integer.
Given
[tex]f(x) = (0.5)^x[/tex]
And
[tex]g(x) = (0.5)^x-k[/tex]
It is also given that g(x) is obtained by shifting function f 2 units downward
We will apply the transformation to function f to find the value of k.
So,
Shifting f(x) 2 units downward
we will get
[tex]g(x) = (0.5)^x-2[/tex]
comparing with [tex]g(x) = (0.5)^x-k[/tex] we get that
k = 2
So,
A) k=2 is the right answer
Keywords: Functions, shifting
Learn more about functions at:
- brainly.com/question/4279146
- brainly.com/question/4354581
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