Question

Linear functions f and g are shown below

f(x) = 3x - 4
g(x) = 3x + c
For what value of c will the graph of g be 6 units above the graph of f?
A) c = 2
B) c = -2
C) c = 6
D) c = -6

Answer 1

A

Step-by-step explanation:

when x = 0, f(x) = -4. when x = 0, g(x) = c. -4 + 6 = 2. the answer is letter a.

Answer 2

The value of c that makes the graph of g(x) 6 units above the graph of f(x) is 2.

Step-by-step explanation:

The student's question asks for the value of c that would make the graph of g(x) = 3x + c be exactly 6 units above the graph of f(x) = 3x - 4. As both functions have the same slope (3), but different y-intercepts, we simply need to adjust the y-intercept of g(x) so that it is 6 units higher than that of f(x). The original y-intercept of f(x) is -4, so adding 6 to this gives us 2. Therefore, c must be equal to 2, and the answer is A) c = 2.