Question

explain the effect of c on the graph of y=f(x) for the function y=cf(x)

Answer 1

multiplication tends to "magnify" things

spose y = x+3;

x 1 2 3 4 5
y 4 5 6 7 8

2f(x) would amount to


x 1 2 3 4 5
y 8 10 12 14 16

Answer 2

so the effect is that it multiplies the equation by c?

Answer 3

yes :)

Answer 4

if c is a fraction, it tends to make it smaller .... but same concept

Answer 5

cool thanks

Answer 6

wait so how would that mulitplication affect the graph
+

Answer 7

if |c| is greater than 1; it tends to make all the points stretch upwards

if |c| = 1; its the normal position

if |c| is a fraction; it tends to squash all the point downward

2(4) = 8
1(4) = 4
(1/2)(4) = 2