SOLUTION: Write the equation of a parabola with the vertex at the origin and focus at (-4,0)?

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Question 633490: Write the equation of a parabola with the vertex at the origin and focus at (-4,0)?

Found 2 solutions by MathLover1, ewatrrr:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Standard form of parabola: (y-k)^2=-4p(x-h), with (h,k) being the (x,y) coordinates
of the vertex. This parabola opens leftwards and has a horizontal axis of symmetry.
For given problem:
Axis of symmetry = x-axis or y=0
p=distance from vertex to focus on axis of symmetry=4
center (0, 0)
Equation:
y%5E2=-16x+
See graph below as a visual check on the equation


+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C%28-16x%29%5E.5%2C-%28-16x%29%5E.5%29+

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
parabola with the vertex at the origin and focus at (-4,0), p = 4
16x = y^2
the vertex form of a Parabola opening right(a>0) or left(a<0), x=a%28y-k%29%5E2+%2Bh
where(h,k) is the vertex and y = k is the Line of Symmetry
The standard form is %28y+-k%29%5E2+=+4p%28x+-h%29, where the focus is (h +p,k)