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Question

For y=f(k*x);K>0
please explain what this does to the graphs x^2 and x^3 and write a rule for this, then prove the rule

thank you

Answer 1

F = x^2

F1 =k^2x^2

for 0 for K=1 the graph F1 will be equal to the graph F
for K>1 the graph F1 will be above the graph F

prove of the rule : F(x) < F2(x) for all x
0 K^2 * x^2 since 0
well i am not going to write this out way too trivial for a math expert


x^3 idemdito

Answer 2

For y = x^2 it multplies the ordinates by k^2
for y=x^3 it multiplies the ordiniates by k^3 and if y=x^n the multiplication factor is k^n
f(x) = x^n f(kx) = (kx)^n = k^n *x^n = k^n * f(x)

Answer 3

gjmb1960 has given the right answer.