Melody

Mmm Lets see.

\(f(x)=\sqrt[2]{x+1}-2\)

this is just

\(f(x)=\sqrt[2]{x+1}\)      dropped 2 units

so I will look at this one:

\(y=\sqrt[2]{x+1}\\ \qquad \text{I first note that }y\ge0\qquad and \qquad x\ge-1\\ y^2=x+1\\ x=y^2-1\\ \text{This is a sideways parabola. It will open up on the positive side }.\\ \text{The parent function for this one is }x=y^2\\ \text{The -1 means that it is moved 1 unit to the left }\)

SO what do we have - we have to go backwards now:

Graph  \(x=y^2\)  which is a sideways parabola with vertex (0,0)

Now move it 1 unit to the left.

Now only include the bits where \( x\ge-1 \quad  and  \quad y\ge0\)

NOTE: This is now the same as  \(y=\sqrt{x+1}\)

Now drop it two units

and then you should have it.       \(y=\sqrt{x+1}-2\)

I will show you how this graph grows from the parent (or is that grandparent) function:

Here is how the graph is built up.

You can play withh this, if you press the coloured circles on the left your graph will diappear or reappear, so you can see how I built the graph :)

Just give us the address of the old question please.

NOT the address of the screen capture!

Thanks Chris,

At least I hope I have found my problem :))

I think I have found the problem!  Well maybe anyway,

I had a  'Tex all things' extension on my Google Chrome browser.

I went looking for it when I realised that normal articles were being interpreted as LaTex!

Heavens only knows why that was there, but I am already thinking about how I might make use of it in the future!

I Have disabled it and I think/hope the problem is solved!       

This

displays like this for me     (Google Chrome)

Everything inside dollar signs displays as LaTex   

Here is a knew one I just saw 

\[ x^2 + \dfrac{5}{3}x + \boxed{\phantom{000}}. \]

this is really interestig because I did not go into LaTex to do this.

I just opened it with      \[     

then the code

x^2 + \dfrac{5}{3}x + \boxed{\phantom{000}}.

 and closed it with the close ] command.

I think it would have worked almost as good  If I had opened it with a dollar sign and closed it with a dollar sign 

I'm just going to try enclosing the quadratic formula in dollar signs and see if that helps.

If if helps for me, which I think in might, does it cause display problems for other people?

Let me know.

\(x = {-b \pm \sqrt{b^2-4ac} \over 2a} \qquad \text{No dollar signs}\\ \)

\($x = {-b \pm \sqrt{b^2-4ac} \over 2a} \qquad \text{Added dollar signs}$ \)

I have also discoverend that I do not need to go into LaTex box to do this, I can just type it straight in!

$x=\frac{1}{2}$   this is just typed straight in, now I am going to see what happens.

It worked perfectly!!

I just counted them, some were tricky and you should check for yourself

6 women and 0 men  (6,0)

0 women and 6 men  (0,6)

5W and 1M     (6,2)

5M and 1W     (2,6)

4W and 2M    (6,4)  or (6,3)

2M and 4W    (4,6) or (3,6)

3M and 3W     (5,5) or  (3,3)

That is 10 possible ordered pairs.

I just tried   Microsoft Edge browser.

Much of what does not work in Google Chrome DOES work in Microsoft Edge

BUT

the things that DO work in Google Chrome  (my normal browser) DO NOT work in Microsoft edge. !!

Look at  this :

Thanks for looking at this problem :)

This is what my page looks like.