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Mathematics 22 Online
OpenStudy (anonymous):

what is the length of the focal width x=1/4y^2

OpenStudy (anonymous):

OpenStudy (anonymous):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

x = (1/4)*y^2 4x = y^2 4(x-0) = (y-0)^2 4*1*(x-0) = (y-0)^2

jimthompson5910 (jim_thompson5910):

the equation 4*1*(x-0) = (y-0)^2 is in the form 4p(x-h) = (y-k)^2 where p is the focal distance (h,k) is the vertex so we can see that p = 1

jimthompson5910 (jim_thompson5910):

p = 1 means that the distance from the focus to the vertex is 1 unit

OpenStudy (anonymous):

is the focal point=1?

jimthompson5910 (jim_thompson5910):

it's not at that location, but that is the focal distance

OpenStudy (anonymous):

what is the focal width?

jimthompson5910 (jim_thompson5910):

oh I'm mixing up focal distance and focal width

jimthompson5910 (jim_thompson5910):

luckily the two are found using p

jimthompson5910 (jim_thompson5910):

|p| = focal distance |4p| = focal width

OpenStudy (anonymous):

4 is the answer?

jimthompson5910 (jim_thompson5910):

yes

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