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Subject: Re: Finding the Equation of a Parabola using the vertex and 1 point


Author:
Kristen
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Date Posted: 09:33:14 10/18/04 Mon
In reply to: QUITTNER 's message, "Re: Finding the Equation of a Parabola using the vertex and 1 point" on 09:11:49 11/10/03 Mon

y=a(h-h)* +k (*=^2)
fill in your points
15=a(7-5)*+12
15-12=a(2)*
3=4a
a=3/4

Standard, fill in a and vertex
a(x-h)*+k
3/4(x-5)*+12

thus that is your equation in standard form

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Replies:
[> [> [> Subject: Re: Finding the Equation of a Parabola using the vertex and 1 point


Author:
Kristen
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Date Posted: 09:34:19 10/18/04 Mon

>y=a(h-h)* +k (*=^2)
>fill in your points
>15=a(7-5)*+12
>15-12=a(2)*
>3=4a
>a=3/4
>
>Standard, fill in a and vertex
>a(x-h)*+k
>3/4(x-5)*+12
>
>thus that is your equation in standard form

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[> [> [> Subject: Re: Finding the Equation of a Parabola using the vertex and 1 point


Author:
QUITTNER
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Date Posted: 07:49:56 10/19/04 Tue

Given that the vertex has coordinates (a,b), and the one give point has coordinats (x1,y1)
Starting with the equation of a parabola:
(y-a)^2 = k * (x-b)
We know a and b (the vertex), and we can then use
(y1-a)^2 = k * (x1-b) to find k

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[> [> [> [> Subject: Re: Finding the Equation of a Parabola using the vertex and 1 point


Author:
QUITTNER
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Date Posted: 08:05:59 10/19/04 Tue

CORRECTION: (Reversing a and b in my previous post):

Given that the vertex has coordinates (a,b), and the
one given point has coordinates (x1,y1)

Starting with the equation of a parabola:
(y-b)^2 = k * (x-a)
We know a and b (the vertex), and we can then use
(y1-b)^2 = k * (x1-a) to find k

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