SOLUTION: Parabola whose vertex is the origin and focus is at (4,0)

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Question 1087158: Parabola whose vertex is the origin and focus is at (4,0)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

The conics form of the parabola equation (the one you'll find in advanced or older texts) is:
regular: 4p%28y+-k%29+=+%28x+-+h%29%5E2
sideways: 4p%28x-h%29+=+%28y+-k%29%5E2.......... since focus is at (4,0), you need this formula
4p%28x-h%29+=+%28y+-k%29%5E2............since vertex is the origin we have
4p%28x-0%29+=+%28y+-0%29%5E2
4px+=+y+%5E2............since focus is at (4,0)and p is the distance between the vertex and the focus, p=4
4%2A4x+=+y+%5E2
y+%5E2=16x+