TyErd's questions

[Blakhitman]

Anytime

[TyErd]

I have another question. When describe the sequence of transformations which maps the graph of on to the graph of

okay so the can be factorised into and the new graph with transformations is

I think I am correct with that part. If it is, how do I describe the transformaitons that have occured.

[the.watchman]

You won't need to know what f(x) is to do this:

- Dilation by factor 1/2 from y-axis (this is f(x) ----> f(2x))
- Translation of 4 units up (f(2x) -------> f(2x)+4)

[Blakhitman]

I have another question. When describe the sequence of transformations which maps the graph of on to the graph of

okay so the can be factorised into and the new graph with transformations is

I think I am correct with that part. If it is, how do I describe the transformaitons that have occured.

All you really need to do is state the transformations from into

which would be dilation by a factor of parallel to the x-axis and a translation of +4 units along the y-axis.

Beaten: the.watchman is here....no point in me replying anymore

[the.watchman]

Beaten: the.watchman is here....no point in me replying anymore

Oi! Don't make me sound like some repressive autocrat...

EDIT: I'm doing language analysis homework atm...

[TyErd]

Okay I understand that, but how come you dont substitue   into .  

[Blakhitman]

Beaten: the.watchman is here....no point in me replying anymore

Oi! Don't make me sound like some repressive autocrat...

EDIT: I'm doing language analysis homework atm...

LOL well you do give no one a chance .

haha nah just saying you're too quick

[the.watchman]

The process of a dilation by factor 'k' from an axis is to replace x with

So if x were to be replaced by 2x, then the dilation factor would be 1/2

Does that make sense?

[Blakhitman]

Remember these:


dilation of along the x-axis.
   
dilation of "n" along y-axis.

reflection on the x-axis.
   
reflection on the y-axis.

translation of "a" units to the right.

translation of "a" units to the left.
   
translation of "k" units up.

translation of "k" units down.

[TyErd]

yeh i get how to state the dilations and all but im use to substituting back into the original questions for example if we know f(x) and the questions says what is f(0), then I would just substitute 0 into x, do you get what i'm saying? In this example why wouldn't you substitute 2x into f(x) considering we know f(x)

[Blakhitman]

because it's only asking you to state the transformations, if it said state what f(2x) + 4 is, then you would substitute into the equation. For now it is only asking to state transformations from f(x), note that this can be any function, into f(2x) + 4

[the.watchman]

Yes, but the question is not: What is ?

It is to state the transformations from f(x) to f(2x)+4, in which case just apply your knowledge of transformations to the question

[TyErd]

omg thankyou , im such an idiot :idiot2:, you have no idea how dumb i feel  lol also if it asks to state the x intercepts of y=f(2x)+4, then I would substitue 2x into the equation and the +4, then factorise to get the intercepts yeah?

[the.watchman]

omg thankyou , im such an idiot :idiot2:, you have no idea how dumb i feel  lol also if it asks to state the x intercepts of y=f(2x)+4, then I would substitue 2x into the equation and the +4, then factorise to get the intercepts yeah?

Yeah, although the y-intercept should be 4 more than previous from intuition (the dilation does not affect the point at x=0)

[TyErd]

okay thankyou! Another question which I cant seem to find where I went wrong. if and , find the values of x if .

Okay when I did this I got three x values 10/3, 26/3 and 34/3 all which are correct but I am missing 2/3 according to the answers.