The calculated value of c in the graph is -3
From the question, we have the following parameters that can be used in our computation:
The functions f(x) and g(x)
In the graph, we can see that
- f(x): The blue graph passes through the point (4, 1)
- g(x): The red graph passes through the point (4, -2)
This means that one of the functions is translated to the other.
We are given that g(x) = f(x) - c
So, we take the function f(x) as the parent function
From the points listed above, we have the following equations:
f(4) = 1 and g(4) = -2
We are also given that
g(x) = f(x) - c
This can be rewritten as
g(4) = f(4) - c
By substituting the values of f(4) and g(4), the equation becomes
-2 = 1 - c
Collect the like terms
c = 1 + 2
When evaluated, we have
c = 3
This means that the value of c is 3 and this can be interpreted as the vertical difference between the functions f(x) and g(x) is 3
