10 points & brainliest

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

a. -2
b. -1/2
c. 1/2
d. 2

D

Step-by-step explanation:

In this case, k represents the slope of a line.  Locate 2 points on the line g(x) where the line goes directly through the intersection of the grids.  g(x) goes through the grid where x = -2 and y = 0; and it also goes through directly where x = 0 and y = 4.  From the intersection (-2, 0) we count up 4 units and to the right 2 units to get to the next point of intersection.  Since slope is rise over run, if we put 4 over 2, we get a slope of 2.  That's our k value.  Positive slopes always run from the lower left to the upper right and negative slopes always run from the upper left to the lower right.  So we know that our slope has to be positive.  This will give you some idea of whether you picked the correct slope; just another way to verify you're correct.  D is the one you want.

Always count up as positive from a point of intersection to another point of intersection; down will be negative.  Moving to the right is positive while moving to the left is negative.

send it over

step-by-step explanation: