Question

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

Answer 1

Step 1
Find the equation of f(x)
we have the points
(-10,-6) and (0,4)
Find the slope m

The function in slope intercept form is equal to

we have

-----> the point (0,4) is the y-intercept
substitute

step 2
Find the equation of g(x)
we have the points
(-2,-6) and (0,4)
Find the slope m

The function in slope intercept form is equal to

we have

-----> the point (0,4) is the y-intercept
substitute

step 3
Find the value of k
we have

-----> equation A
-----> equation B
----> equation C
substitute equation A and equation C in equation B and solve for k