Question

For what value of c will the graph of g be 6 units above the graph of f? F(x) =3x-4G(x)=3x+c

A. c = 4
C. c = -2
C. c = 6
D. c = 10

Answer 1

The value of c that will make the graph of g 6 units above the graph of f is c = 2.

Step-by-step explanation:

To find the value of c that will make the graph of g 6 units above the graph of f, we need to compare the equations of f and g and determine the difference in their y-intercepts. The equation for f is f(x) = 3x - 4 and the equation for g is g(x) = 3x + c. The y-intercept of f is -4, while the y-intercept of g is c. Since we want the graph of g to be 6 units above the graph of f, we have the equation c - (-4) = 6, which simplifies to c + 4 = 6.

Subtracting 4 from both sides of the equation, we get c = 6 - 4 = 2.

Therefore, the value of c that will make the graph of g 6 units above the graph of f is c = 2.