If the point P (3, 1) is on the graph of a function f, find the corresponding point on the graph of the function $y = - 9 f ( x - 2 ) + 1$
A) $( 1 , - 3 )$
B) $( 5,10 )$
C) $( 5 , - 8 )$
D) $( 1 , - 8 )$
E) $( 6 , - 9 )$

Question

Quizplus · Accepted Answer

The transformation $y = -9f(x-2) + 1$ shifts the graph 2 units to the right, scales it by -9, and shifts it 1 unit up. So, the point (3,1) becomes (5,-8).

If the Point P (3, 1) Is on the Graph y=−9f(x−2)+1y = - 9 f ( x - 2 ) + 1y=−9f(x−2)+1

If the Point P (3, 1) Is on the Graph $y = - 9 f ( x - 2 ) + 1$