If the point P is on the graph of a function f, find the corresponding point on the graph of the given function.

Question

P(6, 4); y = 3f(x + 9) - 2

(x,y)= ?

Answer 1

Hi Lauren,

 

I think that to solve this, one would plug in the x of the point (6,4) into x, and the y of the point (6,4) in for y.

 

This gives  4 = 3 f(6+9) - 2

 

Add 2 to both sides.

 

6 = 3 f(15)

 

Divide both sides by 3

 

2 = f(15)

 

 

And this is the point, (15, 2).  I  think that is what they are looking for.  So...

 

Final answer:  (15, 2)