Suppose the point 3 2 lies on the graph of the function f x

Suppose the point (3, 2) lies on the graph of the function f (x). If the function is transformed as 4f (x + 6) - 5, which of these will be the coordinates of (3, 2) under the transformation? a) (-3, 3) b) (9, 3) c) (3, 13) d) (-3, 7) e) (3, 7) f) None of the above.

Solution

when f(x) is transformed to  4f(x + 6) - 5,

x coordinate changes from 3 to 3-6 =-3

y coordinate changes from 2 to 4(2)-5 =8-5 =3

(-3,3) will be the coordinates of (3, 2) under the transformation