Answer:
Correct answer is:
<em>a. (-9,17)</em>
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 ![y = 4f[\frac{1}3x +9] -7](https://tex.z-dn.net/?f=y%20%3D%204f%5B%5Cfrac%7B1%7D3x%20%2B9%5D%20-7)
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:
![4f[\frac{1}3\times (-9) +9] -7\\\Rightarrow 4f[-3 +9] -7\\\Rightarrow 4f(6) -7](https://tex.z-dn.net/?f=4f%5B%5Cfrac%7B1%7D3%5Ctimes%20%28-9%29%20%2B9%5D%20-7%5C%5C%5CRightarrow%204f%5B-3%20%2B9%5D%20-7%5C%5C%5CRightarrow%204f%286%29%20-7)
Now, using equation <em>(1)</em>, putting 

Therefore, the point the corresponding point is:
<em>a. (-9,17)</em>