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2001 paper 2 question 11 a - HSN forum

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2001 paper 2 question 11 a


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#1 oddbins

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Posted 06 April 2005 - 01:26 PM

Can anyone help me with part a, I can do 11b, but I have no idea how to do 11a. huh.gif

#2 AmAnDa

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Posted 06 April 2005 - 01:45 PM

I struggled with that one too but I got it in the end.
Here's what I done

The equation of a parabola: y= (x-root1)(x-root2)

And you know the roots are: -1, p

So the equation of the Parabola: y= -(x+1)(x-p)

y= -(x power2.gif-px=x-p)
y= -x power2.gif+px-x+p
y=p+(px-x)-x power2.gif
y=p+(p-1)x-x power2.gif

If you need me to explain anything just ask! biggrin.gif

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#3 oddbins

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Posted 06 April 2005 - 01:56 PM

That helps a lot, thanks. I understand now. biggrin.gif
Just one question, why is it y= - (x+1)(x-p) and not just y=(x+1)(x-p), I don't understand why there is a minus in front, or am I just being thick? huh.gif


#4 herbeey

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Posted 06 April 2005 - 02:00 PM

The sign of x^2 determins whether the parabola is happy or sad shaped... heheh. I can't remember which way it works though, sorry¬
Signatures suck. They clog up websites and serve no purpose.

#5 AmAnDa

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Posted 06 April 2005 - 02:02 PM

Lol! No your not think I didn't even know the formula till yesterday! unsure.gif

It has a negative at the start because the graph is negative. The way I'v been taught to remember it is that if the graph looks like a smiley face then it positive if it looks like a sad face then its negative!!!

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#6 oddbins

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Posted 06 April 2005 - 02:07 PM

I get it. Because the parabola is sad, it is a minus. And if it was happy it would be positive. wacko.gif
I havn't done parabolas in a while, could you tell? huh.gif unsure.gif
Thanks for the help! LOL


#7 Ally

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Posted 07 April 2005 - 10:02 AM

QUOTE(oddbins @ Apr 6 2005, 03:07 PM)
I get it. Because the parabola is sad, it is a minus. And if it was happy it would be positive. wacko.gif
I havn't done parabolas in a while, could you tell?   huh.gif  unsure.gif
Thanks for the help! LOL

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Yup that's correct. Check out the Polynomials and Quadratics download on page 6. smile.gif

So, the following parabola is +ve (i.e 'happy):

user posted image

And the following parabola is -ve (i.e 'sad'):

user posted image





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