trig graph q (1 Viewer)

[yashbb]

how do i do part b and c tyyy

 

[5uckerberg]

View attachment 33465
how do i do part b and c tyyy

This Q is quite easy to explain is basically just envisioning as if you were on a train and then the station coordinator decided to squeeze people in to ensure the train fits double the people. A negative sign flips the curve and -c which is the -2 part determines whether the curve goes up or down with -ive being going down. Note that the cosine curve is stretched to double the original length.

c is the same idea roughly because here is what you have which then using what we know is squeezing the cosine in by a factor of 2 and pushing the cosine curve back by a phase of because the part indicates that the curve is pushed back by

 

[yashbb]

This Q is quite easy to explain is basically just envisioning as if you were on a train and then the station coordinator decided to squeeze people in to ensure the train fits double the people. A negative sign flips the curve and -c which is the -2 part determines whether the curve goes up or down with -ive being going down. note thatt the cosine curve is stretched to double the original length.

c is the same idea roughly because here is what you have which then using what we know is squeezing the cosine in by a factor of 2 and pushing the cosine curve back by a phase of

thank you and what an interesting, yet extremely helpful analogy!

 

[5uckerberg]

Please note for these types of Qs eg transformations of trig functions. The common strategy is to notice what each change in detail is doing to the known curves eg or their inverse twins.

A coefficient at the front of the trig function indicates stretching or compressing vertically on the curve as if you were stretching or compressing noodles or other baked goods.

A coefficient in front of the x inside the trig function eg implies compression or stretching horizontally and for high school students going on public transport to school, everyday envision the driver squeezing 150 of you on a school bus. If the coefficient is just a fraction that is less than one envision two people grabbing each one of your arms and stretching it out.

Now if there is a + or a - whatever in front of the trig such as the strategy will be as if you pressed rewind or fast-forward by a certain amount on the particular wave. Particularly, - represents rewind and + represents fast-forward.

Last thing if you see a constant in front for a transformation Q the idea is as if an old lady was asking "Uh sorry can I sit here thank you." and you just move somewhere else where a + something is going up and a - is going down. An example is where the cosine curve is shifted up by 2.

With all of them, a negative sign in front of the trig function eg mean flip the function upside down.

If any moderator sees this is it possible to move my post around to anybody who has problems with a sequence of transformations for trigonometry. I would like it to help as many people as possible.