Suppose the point 4 2 lies on the graph of the function f x

Suppose the point (4, 2) lies on the graph of the function f (x). If the function is transformed as 3f (x + 5) - 2, which of these will be the coordinates of (4, 2) under the transformation?

Solution

given (4, 2) lies on the graph of the function f (x)

function is transformed as 3f (x + 5) - 2

x =4-5

x =-1

y=3(4) -2

y=12-2

y=10

new coordinates are (x,y)=(-1,10)