SOLUTION: (a) What is the equation of a parabola with vertex (0,0) and the focus (0,4)?
(b)DRAW its graph on a grid
(a)___________ _________
(b)___________ _________ please help
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Question 93470This question is from textbook
: (a) What is the equation of a parabola with vertex (0,0) and the focus (0,4)?
(b)DRAW its graph on a grid
(a)_____________________
(b)_____________________ please help
This question is from textbook
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
(a) What is the equation of a parabola with vertex (0,0) and the focus (0,4)?
(b)DRAW its graph on a grid
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Vertex Form for a parabola: (x-h)^2 = 4p(y-k)
vertex at (0,0) means h = k = 0
----------------------
You now have x^2 = 4py
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focus at (0,4) means the distance from vertex to focus = 4
p = 4
4p = 16
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EQUATION:
16y = x^2
y = (1/16)x^2
-----------------
===============
Cheers,
Stan H.
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