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In-s [12.5K]
3 years ago
6

suppose a parabola has an axis of symmetry at x=-8, a maximum height of 2, and passes through the point (-7,-1). write the equat

ion of the parabola in vertex form
Mathematics
1 answer:
Arlecino [84]3 years ago
3 0
<span>Its standard form of equation: (x-h)^2=-4p (y-k), (h,k)=(x,y) coordinates of the vertex
</span><span>For given parabola: Vertex = (-8, 2)
(x-(-8))</span>² = -4p(y - 2)

<span>solve for 4p using coordinates of given point ( -7, -1)
-7+8  = 4p (-1 - 2)
1 = 4p(-3)
4p = -1/3

So, Equation of given parabola:
(x+8)</span>² = -(y-2) / 3

Hope this helps!
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tensa zangetsu [6.8K]

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2 years ago
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