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Lesechka [4]
3 years ago
6

Please help me in math. Write an equation of the parabola shown.

Mathematics
1 answer:
Rama09 [41]3 years ago
5 0

Answer:

y =   \frac{1 }{8} {(x + 3)}^{2}

Step-by-step explanation:

y = a(x - h)^{2}  + k \\ y = a(x - ( - 3))^{2}  + 0 \\ using \: points \: (1 ,\: 2) \\ 2 = a {(1 - ( - 3))}^{2}  \\ 2 =  a{4}^{2}  \\ 16a = 2 \\ \boxed{ a =  \frac{1}{8} } \\ hence \to \\ y = \frac{1}{8} (x - ( - 3))^{2}  \\ y =   \frac{{(x + 3)}^{2} }{8}

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