Answer:
(5,19) lies on the graph of the transformed function y = f(1/5x)
Step-by-step explanation:
Suppose (1,19) is on the graph of y = f (x)
the graph of the transformed function y = f(1/5x)
[tex]y=f(\frac{1}{5}x)[/tex]
1/5 is multiplied with x in f(x)
1/5 is less than 1 so there will be a horizontal stretch in the graph by the factor of 1/5
To make horizontal stretch we change the point
f(x)=f(bx) then (x,y) --->( x/b,y)
We divide the x coordinate by the fraction 1/5
(1,19) ----> [tex](\frac{1}{\frac{1}{5}} , 19)= (5,19)[/tex]
So (5,19) lies on the graph of the transformed function y = f(1/5x)
