Question

Figure shows the graphs of the function y= f(x) and y= g(x). The four indicator points all have integer coordinates.

If g(x)= k• f(x), what is the value of K?

Explain your reasoning to the answer or show work!!!

Answer 1

The generic equation of the lines is:
 y-yo = m (x-xo)
 m = (y2-y1) / (x2-x1)
 We look for the functions:
 For f (x):
 m = (- 1-1) / (1-0)
 m = -2
 y-1 = -2 (x-0)
 y = -2x + 1
 For g (x):
 m = (3 - (- 3)) / (1-0)
 m = 6
 y - (- 3) = 6 (x-0)
 y = 6x-3
 y = -3 (-2x + 1)
 The value of k is:
 k = g (x) / f (x)
 k = (- 3 (-2x + 1)) / (- 2x + 1)
 k = -3
 Answer:
 the value of K is:
 k = -3