Given f(x) and g(x) = f(k⋅x), use the graph to determine the value of k.
a. 5
b.
c. -
d. -5

Option A k=5

Step-by-step explanation:

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

3x^3-x^2+6x-9