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anonymous
 one year ago
Find the vertex, focus, directrix, and focal width of the parabola.
x = 4y^2
anonymous
 one year ago
Find the vertex, focus, directrix, and focal width of the parabola. x = 4y^2

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perl
 one year ago
Best ResponseYou've already chosen the best response.2The general form of your parabola is $$ \Large x = \frac {1}{4p} y^2 $$Focal width is 4p

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok what do i do wuth that formula

perl
 one year ago
Best ResponseYou've already chosen the best response.2we need to solve 1/(4p) = 4

perl
 one year ago
Best ResponseYou've already chosen the best response.2the vertex is (h,k) directrix is x = p focal width is 4p

perl
 one year ago
Best ResponseYou've already chosen the best response.2it is centered at the origin

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how do we find h and k

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok the focal width is .25

perl
 one year ago
Best ResponseYou've already chosen the best response.2The general form of a parabola that opens to the right or left \[ \Large xh = \frac {1}{4p} (yk)^2 \]Vertex is (h,k) directrix is x =h p focal width is 4p

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0is the focal width represented as a single letter?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0like i know i can plug in x as 4y^2 but thats still not enough to find either h or k

perl
 one year ago
Best ResponseYou've already chosen the best response.2h must be zero and k must be zero

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how do you know its at the origin though

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh wait all the choices have the vertix set to (0,0) but if it isnt how do you know

perl
 one year ago
Best ResponseYou've already chosen the best response.2\[ \Large xh = \frac {1}{4p} (yk)^2 \iff x = \frac {1}{4p} y^2 \]

perl
 one year ago
Best ResponseYou've already chosen the best response.2the two equation left sides must match and the right side must match

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ohhhhhh omg ok i get it

perl
 one year ago
Best ResponseYou've already chosen the best response.2the two equations left sides must match and right sides

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and thats how you know its at the origin?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok then the directrix is 0.25 which would = 1/4

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0but what about the focus?

perl
 one year ago
Best ResponseYou've already chosen the best response.2correct. and the focus is (h+ p, k )

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh ok this is actually simplier than i thought! thank you so much!
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