Melody
Jan 8, 2018

Melody
Jan 1, 2018

#4**+2 **

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 :)

https://www.desmos.com/calculator/0fgnsho6gv

this is just the pic to make the post pretty, but you should to to the linked site :)

Melody
3 hours ago

#3**0 **

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 :

https://web2.0calc.com/questions/two-parabolas-are-the-graphs-of-the-equations-y-2x_1

IN Google Chrome this is one of the few LaTex things that DOES work

BUT in Microsoft Edge, where more of the LaTex is rendering, this one does NOT !

This is all so weird!!

When I tested with my android phone, using Google Chrome it seemed to render properly. At least the quadratic fomula seemed to be correct.

The LaTex is not rendering properly on EITHER of my computers though.

Could the surrounding dollar signs have something to do with it? ... (I am just thinking out loud here)

Melody
Jan 16, 2018