The point (6, 6) is on the graph y = f(x) . Find the corresponding coordinates of this point on the graph y = 4f[1/3x +9] -7 a. (-9,17)
b. (17,-9)
c. (11,11)
d. (9,17)

Correct answer is:

a. (-9,17)

Step-by-step explanation:

We are given that a point (6, 6) lies on the graph of .

Putting the values from the given point:

That means we are given that ..... (1)

And we have to find the corresponding coordinates of this point on the graph of

From equation (1), we know the value of .

so, let us convert to a form such that it becomes equal to

So, let us put in the given function:

Now, using equation (1), putting

Therefore, the point the corresponding point is:

a. (-9,17)