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TEA [102]
2 years ago
6

Find an equation of the parabola that has the indicated vertex and whose graph passes through the given point

Mathematics
1 answer:
vichka [17]2 years ago
3 0
Equation of a parabola with vertex at (2, -1) is
y = a(x - 2)^2 - 1

Using the given point: -3 = a(4 - 2)^2 - 1
-2 = a(2)^2
4a = -2
a = -1/2

Therefore, required equation is
y = -1/2(x - 2)^2 - 1
y = -1/2(x^2 - 4x + 4) - 1
y = -1/2x^2 + 2x - 2 - 1
y = -1/2x^2 + 2x - 3
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