Questions thread

[Cataclysmic]

lol failed use of latex ;d

[Ilovemathsmeth]

For 1. a) Here's how you'd do it the long way. I'm terrible with using LaTex by the way

is the new image.







This gives the same result; a dilation of factor 2 from the x-axis, a translation of 3 units in the positive direction of the y-axis and a translation of 1 unit in the positive direction of the x-axis.

Hope that helps.

[Ilovemathsmeth]

Ahh really, did it fail??

[Hielly]

For 1. a) Here's how you'd do it the long way. I'm terrible with using LaTex by the way

is the new image.







This gives the same result; a dilation of factor 2 from the x-axis, a translation of 3 units in the positive direction of the y-axis and a translation of 1 unit in the positive direction of the x-axis.

Hope that helps.

hey for this
How did you get this?, you rearraged it in the form of y=1/x

when i did thi i got y'-3=2/(x-1) and if use cross multiply then (y'-3)(x-1)/2 ?

[Ilovemathsmeth]

Nah, you're dividing both sides by 2 from the step:

to give

[Hielly]

ok thanks how would you do q1f ?
In each case below, state the sequence of transformations required to transform the graph
of the first equation into the graph of the second equation:
y =2/3 − x + 4, y =1/x

[Ilovemathsmeth]

Which post was it?

[Hielly]

and this, not sure how to sketch it in this equation format

thanks

[Cataclysmic]

It tells you that .

You know that is a rectangular hyperbola and using transformations you can see:
It is reflected in the x-axis
It is translated 1 unit to the left
It is translated 3 units up.

And there is an asymptote at ( because it would be make the denominator 0, making the equation undefined) and (would give you ........ 

[Ilovemathsmeth]

To sketch such an equation, do long division to convert it into the more familiar hyperbolic function and then sketch in the normal way, finding asymptotes and then intercepts.

[qshyrn]

hielly , i hope u dont mind if i post a quick question of my own here (if u do mind, then let me know and ill delete this post)

when finding out general solutions for trig equations, would we lose marks for not following the conventions, that is:
has range
has range
has range
for example: the general solution to
would writing "" be alright, or does it have to be

[TrueTears]

is fine.

[kenhung123]

Nah, you're dividing both sides by 2 from the step:

to give

Can you please demonstrate how you would find the dilation factor on y=1/x to produce 1/2x? In the example you did, did you divide it by 2 because you knew it was from the x axis or it is convention?

[kenhung123]

When sketching the graph of a truncus, is it necessary to use arrows?

[Ilovemathsmeth]

It might be a good idea actually to have arrows. I think they took a mark off me once in 1/2 or yr 10 Maths for not having arrows. Maybe they were just tight

In that case, it's already in the form







This suggests a dilation of factor 1/2 from the y-axis as it affects the x-values. You could also have done this by inspection, as it appears to be of the form suggesting a dilation of 1/k from the y-axis, in this case 1/2. Hope that helps.