Silly Questions Thread

[the.watchman]

Don't reject the one with the positive sign, if you graph both together, they make up the inverse of the other function
However, if you were to restrict the domain of the original function to a specific interval, then you could pick either one or the other

[Aqualim]

ok so because the original states that it is negative, , then I must choose the graph which is negative? or would I still choose both?

[Aqualim]

Also I need help with finding a general solution for
I keep getting a different answer to the calculator..

[Aqualim]

A function undergoes the following sequence of transformations:
- a translation one unit in the positive direction of the x-axis and two units in the positive direction of the y-axis
- a reflection in the y-axis
- a dilation of factor 2 from the x-axis
- a reflection in the line

a) Find an expression for the tranformed and co-ordinates in terms of x and y.

[brightsky]

Also I need help with finding a general solution for
I keep getting a different answer to the calculator..

, where x is not 0.

Looking at the sine graph, we would have solutions

[Aqualim]

Cheers! Thanks for the explanation Brightsky

A function undergoes the following sequence of transformations:
- a translation one unit in the positive direction of the x-axis and two units in the positive direction of the y-axis
- a reflection in the y-axis
- a dilation of factor 2 from the x-axis
- a reflection in the line

a) Find an expression for the tranformed and co-ordinates in terms of x and y.

Can anybody help me here?

[Aqualim]

Let and
State the correct order the transformations necessary to obtain the graph of from the graph of

Is this correct?

- Dilation by a factor of 16 from the x-axis
- Translation of 3 units in the negative direction of the x-axis
- Translation of 1 unit up along the y-axis

I have a funny feeling the middle answer is wrong.

[moekamo]

&

so it is:
- a dilation of 2 from the x axis,
- a reflection in the y axis,
- and a translation of 1 unit in the positive y direction

[Aqualim]

&


The sequence of transformations can be described through the matrix equation;
(equation 1)

where;
is the matrix of the original coordinates and is the matrix of the transformed coordinates.

Solve the matrix 'equation 1' for X. Give the answer in the matrix form (I have a funny feeling the 'B' is supposed to be an N) and state the matrices M and N

Also;


Thanks any help would be greatly appreciated

[yejiawen]

How do I anti-differentiate

2x(x-6) ? :S

[Stroodle]

Expand it first, then anti-differentiate each term separately.

[superflya]

[yejiawen]

Thanks!

[yejiawen]

also... how do we anti-differentiate

12/(x+1)^2


Thanks in advance =.='

[the.watchman]

(dividing by the new power)