Basically i wondered if you have found a way of remembering graph transformations. The understanding of how they work has alway eluded me so havving to learn them. I forget which way the curve goe and don't get me started with sketching the modulus of graphs.
the ones i'm talking about are
y= f(x) + A (move A units up) y= f(x-A) (move A units right) y= -f(x) reflection in x axis y= f(-x) reflection in y axis y= Af(x) stretch parrallel to the y axis with scale factor A y= f(ax) stretch parrallel to the x axis with scale factor 1/A And both modulus functions.
Yes i know you can tell me off for being lazy but if anybodys got any little dittys/sayings/songs/ballads/haiku/rhymes of how to remember which wahy to translate the curve it would be most kind of you.
I don't understand why you can't just spend half an hour working out why they work the way they do. Then you'll never have to 'learn' anything. You'll just know it.
Honestly i've tried going over it a fair few times... Its just one of these things my brain likes take in and then muddles around with while its in there causing me to mess up. The exams not for a while so of course i'll be attempting to learn them but i was just wondering if anybody had a way of remembering them that worked for them.
y= f(x) + A (move A units right) y= f(x-A) (move A units up) y= -f(x) reflection in y axis y= f(-x) reflection in x axis y= Af(x) stretch parrallel to the y axis with scale factor A y= f(ax) stretch parrallel to the x axis with scale factor 1/A y=f(lXl) reflect all parts of the curve to the right of the y-axis y= lf(x)l reflect the line in the x axis
Cheers
y= f(x) + A (move A units right) No. Move A units upwards.
y= f(x-A) (move A units up) No. Move A units right.
y= -f(x) reflection in y axis Reflect in x axis.
y= f(-x) reflection in x axis Reflect in Y axis
y= Af(x) stretch parrallel to the y axis with scale factor A correct!
y= f(ax) stretch parrallel to the x axis with scale factor 1/A Correct!
y=f(lXl) reflect all parts of the curve to the right of the y-axis
generalebriety
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This means mirror everything in the second and forth quadrant with the first and third quadrant doesn't it?
y= lf(x)l reflect the line in the x axis No. This means there can be no negative Y co-ordinate. So make them the corresponding positive values.
oo what you can do is:for f(-x), you say that because it is making all the x values negative, therefore y-axis acts as a mirrorfor -f(x), all the y values change, so x-axis becomes a mirror[Sorry for replying after a very long time lol]
Basically i wondered if you have found a way of remembering graph transformations. The understanding of how they work has alway eluded me so havving to learn them. I forget which way the curve goe and don't get me started with sketching the modulus of graphs.
the ones i'm talking about are
y= f(x) + A (move A units up) y= f(x-A) (move A units right) y= -f(x) reflection in x axis y= f(-x) reflection in y axis y= Af(x) stretch parrallel to the y axis with scale factor A y= f(ax) stretch parrallel to the x axis with scale factor 1/A And both modulus functions.
Yes i know you can tell me off for being lazy but if anybodys got any little dittys/sayings/songs/ballads/haiku/rhymes of how to remember which wahy to translate the curve it would be most kind of you.
Cheers
crazy to think that ur a fully grown adult now. 13 years is mad