Question

Suppose the point (6, -3) is on the graph of y = f(x). Find the corresponding point on the following transformations of f. y = g (x) = 1/2f (x+3)

Answer 1

The point (6, -3) is on the graph of y = f(x).

To determine the corresponding point on the following transformations of f.

`y=(1)/(2)f(x+3)`

At (6, -3) ,

`y=(1)/(2)f(6+3)=(1)/(2)f(9)`
`-3=(1)/(2)f(9)`
`f(9)=-6`

Hence the corresponding point is obtained as

`(9,-6)`