Answer :
Answer:
C) (y+3)^2/64-(x+1)^2/36=1
Step-by-step explanation:
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To solve this problem, we just need to substitute the values into the equation and solve. the equation of hyperbola and solve. This will give
[tex]\frac{(y+ 3)^2}{64} - \frac{(x+1)^2}{36} =1[/tex]
Equation of a Hyperbola
The standard equation of a hyperbola is given as
[tex]\frac{(x-h)^2}{a^2} - \frac{(y-k)^2}{b^2} = 1\\[/tex]
The data given are;
- focus = (-1, 7)
- vertex = (-1, 5)
- center = (-1, -3)
Let's substitute the values into the equation of hyperbola and solve. This will give
[tex]\frac{(y+ 3)^2}{64} - \frac{(x+1)^2}{36} =1[/tex]
Learn more on equation of hyperbola here;
https://brainly.com/question/16735067
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