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Mathematics 8 Online
OpenStudy (anonymous):

Given y^2=4px find p when one end of the focal width is 5sq.rt5 units from the vertex of the parabola

OpenStudy (anonymous):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

Read this page http://www.its.caltech.edu/~mamikon/Parabella.html specifically the part that says ` The focal width of parabola is 4p` (and look at the image they refer to)

jimthompson5910 (jim_thompson5910):

let me know when you're done reading

OpenStudy (anonymous):

i know that already but is how to go about using it

jimthompson5910 (jim_thompson5910):

based on the diagram they show, what is 'p' referring to?

OpenStudy (anonymous):

the focus point

jimthompson5910 (jim_thompson5910):

close

OpenStudy (anonymous):

no the distance from the vertex to the focus point

jimthompson5910 (jim_thompson5910):

but not quite

jimthompson5910 (jim_thompson5910):

yes

jimthompson5910 (jim_thompson5910):

`one end of the focal width is 5sq.rt5 units from the vertex of the parabola` translation `the distance from the vertex to the focus is 5*sqrt(5)`

jimthompson5910 (jim_thompson5910):

the parabola opens to the right like this |dw:1446433984460:dw|

jimthompson5910 (jim_thompson5910):

here is the focal width |dw:1446434000129:dw|

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