GRAPH TRANSFORMATION

Question

 Suppose that the graph of a given function f(x) contains the point (9, 4). What point must be on each of the following transformed graph? Please write your answer as pints (a, b) including the parentheses. Give a brief explanation of your thinking.

d) The graph of -1/2 f(x) must contain the point: 

e) The graph of -2f(x-1)-3 must contain the point:

Answer 1

f(x) contains the point (9,4)

-f(x) replaces y with -y, chaning (9,4) to (9,-4)

-(1/2)f(x) compresses the function's y values by a factor of 1/2

changing (9,-4) to (9,-2)