The figure shows the graphs of the function

*y = f(x)*and*y = g(x)*. The four indicated points all have integer coordinates.If

*g(x) = k ∙**f(x)*, what is the value of k?On

On

On

and

On

Therefore if

*f(x)*, the two indicated points are (0,1) and (1,-1)On

*g(x)*, the two indicated points are (0,-3) and (1,3)**Think of what the y-coordinates on f(x) are multiplied by,**

in order to get the y-coordinates on g(x).in order to get the y-coordinates on g(x).

On

*f(x)*, 1 is multiplied by -3 to get -3 on*g(x)*.and

On

*f(x)*-1 is multiplied by -3 to get 3 on*g(x)*.Therefore if

*g(x) = k ∙**f(x)*, then the value of**k is -3**.**Ask Algebra House**