Given the function k(x) = x2, compare and contrast how the application of a constant, c, affects the graph. The application of the constant must be discussed in the following manners:

k(cx)
c • k(x)

Question

Given the function k(x) = x2, compare and contrast how the application of a constant, c, affects the graph. The application of the constant must be discussed in the following manners:

k(cx)
c • k(x)

nincompoop · Answer

what do you think it does?

anonymous · Answer

makes the graph open wider or narrower

nincompoop · Answer

exactissimo

nincompoop · Answer

whenever there's a constant that is greater than 1, it means that the function increases faster or sharper, making the graph narrower
the same can be said if the constant is greater than -1
the only difference between a positive and negative constant is that it determines whether the parabola opens up or down

anonymous · Answer

oh i see so what about the second one?

nincompoop · Answer

I misstyped on the negative constant. instead of greater than -1 I mean lesser than -1

nincompoop · Answer

for the function f(x) = x^2 
f(x) c * x^2 and c * f(x) = x^2 are the same

anonymous · Answer

i have to go ill be back sorry

anonymous · Answer

@nincompoop