If the point P is on the graph of a function f find the corr

If the point P is on the graph of a function f, find the corresponding point on the graph of the given function. P(1, 2); y = 5f(10 x) + 3

Solution

p(1 , 2) is on the graph of function f

y = 5f(10 - x) + 3

x coordinate of f(x - 10) = 1 + 10 = 11

==>x coordinate of f(10 - x) = -11

==>x coordinate of 5f(10 - x) +3 = -11

y coordinate of y = 5f(10 x) + 3

= 5(1) + 3

= 5 + 3

= 8

So new point is (x , y) = (-11 , 8)