Question

Suppose the point (8,12) is on the graph of y=f(X). Find a point on the graph of each function.
a) y=1/4f(x) b) y=4f(x)

Answer 1

y = f(x)
(8, 12) is a point on the graph.
So 12 = f(8) ---- (1)

a) y = 1/4 * f(x)
when x = 8, y = 1/4 * f(x) = 1/4 * f(8)
From (1): f(8) = 12. Therefore, 1/4 * f(8) = 1/4 * 12 = 3
(8,3) is a point on this graph.

b) y = 4f(x)
when x = 8, y = 4 * f(x) = 4 * f(8) = 4 * 12 = 48
(8, 48) is a point on this graph.