If the point (5, 3) is on the graph of y=f(x), find the coordinates of a point on the transformed function y=3f(2x+5)-7

Question

If the point (5, 3) is on the graph of y=f(x), find the coordinates of a point on the transformed function y=3f(2x+5)-7

Answer 1

If we choose the point at x = 0, we get:

y = 3f(2(0) + 5) - 7 = 3f(5) - 7 = 3(3) - 7 = 2.

Therefore, (0,2) is a point on the graph of the transformed function.