Given f(x) and g(x) = k-f(x), use the graph to determine the value of k. f(x)
g(x)

A. -5
B. -1/5
C. 1/5
D. 5

Explanation:

The point (-2,2) is on the red f(x) line. This point is marked in black.

It corresponds to the point (-2,-10) on the g(x) blue line.

The point (-2,2) moves to (-2,-10). The x coordinate stays at x = -2. The y coordinate has gone from y = 2 to y = -10. This is a jump of "times negative 5".

-5*2 = -10

So we see that k = -5

Saying g(x) = k*f(x) is the same as g(x) = -5*f(x)

Recall that y = f(x), so saying -5*f(x) is really saying "whatever the y coordinate is on f(x), multiply it by -5 to get the corresponding y coordinate on g(x)".

-5

y = -x + 4 (red)

y=5x -20 (blue)

-5*(-x+4) = 5x-20

Step-by-step explanation:

correct answer:

b.(19,-2)