#aliveisntsad

[ceadotoh]

Katara woke up to bright sunlight shining through her window. She moaned, and stretched her arms. "Good morning, love," she whispered as she turn over to an empty bed. Tears met her eyes. He had been in her life for so long, adjusting to a life without him had become the hardest thing she had to tackle.

I HATE YOU

[flerica]

TEA

Amy Pond by areyoutryingtodeduceme and Aphroditea by lambdse both arrived in the post today! I am fit to burst from excitement. I will have to lay off the Lady Londonderry to try these. 

:DDD!!

Eternal thanks to lambdse for putting on a giveaway and aliveisntsad for trading tea with me!

[maths-help]

aliveisntsad asked maths-help: 27 Sep 06:48pm

(In response to the graph translations question) Well, we're doing many different graphs, like absolute value, parabella, and square root, then moving it slightly. So, say, we have to graph f(x)= |x|, then we graph f(x)= |x|+2, which is the same graph only shifted up 2 points on the y-axis. Then, f(x)=|x+2| shifts two points to the left on the x-axis. It's just a lot to take in, and remembering where you move the graph can be hard to remember without notes to reference. I just need memory tips.

Ugh, I always HATED learning about graph transformations. There are ways to remember them, though. It can seem like a lot to take in at first, but you'll soon find you're doing it without thinking.

The first thing to note is that there are only two different places where a graph transformation can be. It can either be next to the x, or next to the y. A transformation is next to the x if it replaces the x with something. In your example of f(x)=|x| going to f(x)=|x+2|, that transformation is next to the x. It's replacing the value of x in the original equation with (x+2) in the new equation.

In the other example, |x| going to |x|+2, the transformation is next to the y. Although it is on the x's side of the equation, it isn't replacing the x with something else. x is still sitting there in it's absolute value lines and hasn't changed. The transformation has just added an extra part onto the equation. This means it's next to the y.

Similarly, if your function was to become f(x)=|2x|, that transformation is next to the x. It replaces (x) with (2x). But if it was to become f(x)=2|x|, that transformation is next to the y, because x hasn't changed, but something has been added to the rest of the question.

The next part is to remember that if a transformation is next to the y, it does things in the y direction. If it is next to the x, it does things in the x direction.

Last is to remember that y does things the right way around, and x does things backwards.

Finally we remember that y does things the right way round. In this case, it means that the translation will move it in the direction we expect it to (unlike a translation in the x direction, where it would move by 3 instead of -3). The translation is of -3, so the graph will move by -3 in the y direction.

Another example. f(x)=|x| goes to f(x)=|2x|.

Step 1. Is it next to the x or the y? In this case, it's next to x, because the x has been replaced by 2x.

Step 2. It's next to x, so it will only change things in the x direction. In this case, we know a multiplying number means there will be a stretch - and we now know that will be a stretch in the x-direction.

Step 3. x does things backwards. In the case of a stretch, backwards doesn't so much mean backwards as upside-down. So instead of the graph being stretch by a scale factor of 2 (as it would be if we were moving in the y direction), it is stretched by a factor of 1/2. This would work the same no matter what the multiplying number was. If it was |3x|, it would stretch by 1/3. If it was |1/4x| it would be stretched by 4.

I hope that wasn't too rambly! If you want me to clarify my explanation feel free to ask again.

~Az

[thored]

Hmmmm... Fight Club.

Movie: whatever | never watched | I saw it and was amazing! | WHAT? THE BEST MOVIE EVER!

URL: can improve? | bless | I liked it | flawless | YOUR URL IS MINE NOW.

Ícon: can improve? | bless | I liked it | flawless | WHERE YOU FOUND IT?

Blog: 1 | 2 | 3 | 4 | 5 | 6 |7 | 8 | 9 | +10 | +1864851

following? No, oh sorry! | congrats. now! | of course i follow you. 

[sherleck]

Have I told you lately how amazing you are? Because you are amazing and I love you.

OMG, THANK YOU SO MUCH! YOU'RE SO SWEET<3

[escapedmace]

✉

Bleed it Out- Linkin Park

[sherleck]

WAIT YOU'RE THE SAME AGE AS I AM?? I always thought you were in your twenties and in college/out of college. Huh.

HAHAH NO. I'm 17, my birthday is on February 9, and next year I start college :) I DON'T WANNA GROW UP :'(