Which statement about a trapezoid is always true?
1 answer:
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Answer:
Step-by-step explanation:
The standard equation of a horizontal hyperbola with center (h,k) is
The given hyperbola has vertices at (–10, 6) and (4, 6).
The length of its major axis is .
The center is the midpoint of the vertices (–10, 6) and (4, 6).
The center is
We need to use the relation to find
.
The c-value is the distance from the center (-3,6) to one of the foci (6,6)
We substitute these values into the standard equation of the hyperbola to obtain:
Answer:
vertex: (2,-18)
Step-by-step explanation:
y = ax² + bx + c
(-1,0) : a - b + c = 0 ...(1)
(5,0) : 25a +5b +c = 0 ...(2)
(0,-10): 0a + 0b + c = -10 c=-10
(1) x5: 5a - 5b + 5c = 0 ...(3)
(2)+(3): 30a + 6c = 0 30a = -6c = 60 a = 2
(1): 2 - b -10 = 0 b = -8
Equation: y = 2x² - 8x -10 = 2 (x² -4x +4) - 18 = 2(x-2)² -18
equation: y = a(x-h)²+k (h,k): vertex
vertex: (2,-18)
