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astraxan [27]
3 years ago
14

If the vertex of a parabola is (2,-9) and another point on the curve is (5,-18). What is the coefficient of the squared expressi

on in the parabola's equation?
Mathematics
1 answer:
Snezhnost [94]3 years ago
7 0
Parabola form : (y-k) = a(x-h)², where h and k are the vertex(h , k)
The vertex is given (2 , - 9), the equation of the parabola becomes:
y+9 = a(x-2)²
But we know this curve passes through (5, - 18)
Plug the respective values of x & y in the equation:
-18 +9 = a(5-2)² → - 9 = 9a & a = -9/9 and a= - 1
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Answer:

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In order to find (g+f)(x), both the functions are added and simplified.

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We also know that square root dissolves into power ½

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We can see that power ½ is common in both functions so taking it out

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