Transformation Questions

[vgardiy]

Consider the transformation

The graph gets wider (or technically 4 times shorter) so is this considered

a) a dilation of factor 4 from the y- axis
b) a dilation of factor 4 of the x-axis
c) a dilation of factor 4 from the x-axis
d) some other combination of these words


Thanks

[Pixon]

Either:
1) a dilation of factor 4 from the y-axis
2) a dilation of factor 1/16 from the x-axis

(1 is better due to the form it's given in)

[vgardiy]

Ok, Thanks

How about reflections, is



a) A reflection across the y-axis
b) a reflection in the y-axis
c) a reflection in the x-axis

[Pixon]

A reflection in the y-axis

[luffy]

You should probably note that instead of using "from the x-axis", examiners might put in the words "parallel to the y-axis". Those two mean the same thing.

The same applies to "from the y-axis" and "parallel to the x-axis". Haha. Sorry if I confused you.

[Romperait]

Dang Pixon! When did you get so smart?

[Pixon]

...lol wtf Romperait.

Yeh what Luffy said is pretty important. Just thinking about the implication of that dilation as a stretch or a squeeze. If you're stretching it away from the y-axis, you're also stretching it along the x-axis which is why "from the y-axis" is equivalent to "along/parellel to the x-axis".

[david10d]

Partly related to topic: Is anyone is finding the absolute value function difficult/extremely annoying?

[Romperait]

Partly related to topic: Is anyone is finding the absolute value function difficult/extremely annoying?

Done algebraically they're extremely annoying. Graphically...not so much. =)

[Pixon]

lol...graphically.
If you don't want to lose marks on the graphical stuff, make sure you trace the sections which are in both the original function and the modulus function.

[vea]

Partly related to topic: Is anyone is finding the absolute value function difficult/extremely annoying?

If you're finding the absolute value fn hard, it is best to split it up into it's hybrid function as it makes it much clearer.

[luffy]

Partly related to topic: Is anyone is finding the absolute value function difficult/extremely annoying?

If you're finding the absolute value fn hard, it is best to split it up into it's hybrid function as it makes it much clearer.

Do that to gain a better understanding - but I reckon splitting it up into a hybrid function might be a little time-consuming for a single graph, especially with last years exam 2. But if your having issues, its probably the best way to go in terms of algebra.

[Romperait]

Partly related to topic: Is anyone is finding the absolute value function difficult/extremely annoying?

If you're finding the absolute value fn hard, it is best to split it up into it's hybrid function as it makes it much clearer.

Do that to gain a better understanding - but I reckon splitting it up into a hybrid function might be a little time-consuming for a single graph, especially with last years exam 2. But if your having issues, its probably the best way to go in terms of algebra.

+1