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anonymous
 one year ago
Please help :)
A. Explain the effect of c on the graph of y=f(x) for the function y=cf(x).
B. Explain the effect of c on the graph of y=f(x) for the function y=f(cx).
anonymous
 one year ago
Please help :) A. Explain the effect of c on the graph of y=f(x) for the function y=cf(x). B. Explain the effect of c on the graph of y=f(x) for the function y=f(cx).

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Also how y=(3x)^2 is a transformation of the graph y=x^2 please :)

A_clan
 one year ago
Best ResponseYou've already chosen the best response.0A. Amplitude increases. i.e. Graph moves away from the Xaxis.

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.1In situation A, c stretches the graph vertically. If c = 2 for example, the graph will be twice as tall. If c = 1/2, then the graph will be half as tall.

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.1In situation B, c stretches the graph horizontally. It's a little weird, but if c = 2, for example, the graph will actually compress/shrink/be "half as long" < don't actually put "half as long" in your answer, it's just a way for you to imagine it. If c = 1/2, the graph will actually expand/grow/be "twice as long" < again, teachers won't like you to say "twice as long" put it helps get the picture in your own mind.

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.1For your last question, notice that there is a "c" inside next to the x. This c = 3 and will stretch the graph horizontally. Since it is 3, it will compress/shrink the graph horizontally by a factor of three. Since it is also negative, it will flip the graph over the yaxis. I'll draw a picture so you can see what I mean.

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.1Even better, let me draw the x^2 graph.

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.1In this case the flip across the yaxis doesn't do anything because it is already a mirror image of itself. dw:1437116265984:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0wait i don't get it so it doesn't flip? like not even on the x axis?

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.1mhm... I was thinking you'd be confused by this particular special case. Here's a more general picture just to give you the idea for not so special functions.

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.1dw:1437116444748:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so this one still flips on the y axis but not x?

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.1That is correct. The general pattern is f(cx) flips around the yaxis c f(x) flips around the xaxis

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.1So, another picture...

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.1dw:1437116587371:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i get it now :) thank you so much!

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.1Your welcome! Glad to help!
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