Graphs help!!! (1 Viewer)

[philk_93]

Does anyone have any tips to draw y=f(x^2) from y=f(x), i was doing the 2009 cssa trial paper q3 a) (iii) and i wasnt sure how they got to that answer. Thanks for any help.

 

[Hermes1]

Does anyone have any tips to draw y=f(x^2) from y=f(x), i was doing the 2009 cssa trial paper q3 a) (iii) and i wasnt sure how they got to that answer. Thanks for any help.

this is the best way to do it. im going to have to explain it wiff words so bear with me.

1. look at all the critical points on ur graph
2. look at the corresponding x values of these critical points
3. now take the square root of these corresponding values
4. move the critical points to above these new square root values. (e.g. if you had a max tp at (9, 11) u shuld move it to (3, 11) on ur graph of f(x^2))
5. the y values are unaffected here. you are just moving taking roots of the x values. ull notice that the graph moves closer to the y-axis. it kind of compresses.

that is the way u draw it.

like lets say f(3) = 11 on ur graph. on your graph of f(x^2) u want to make sure you have the same value for y for f(3). therefore you take f(root 3) which when squared bcums f(3) = 11.

 

[khfreakau]

Someone tell me how to draw y=f(e^x)

 

[philk_93]

thanks alot

 

[Hermes1]

thanks alot

ur welcome and gud luk wiff ur trials.

 

[Hermes1]

Someone tell me how to draw y=f(e^x)

did u still want this explained?