Answer:
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Step-by-step explanation:
Answer: 
<u>Step-by-step explanation:</u>
The vertex form of a parabola is y = a(x - h)² + k or x = a(y - k)² + h
- p is the distance from the vertex to the focus
- -p is the distance from the vertex to the directrix

1) y = -2(x - 4)² - 1 → a = -2 (h, k) = (4, -1)

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2) x = (y - 1)² + 2 → a = 1 (h, k) = (2, 1)

By the remainder theorem the remainder when dividing p(x) by x-a is p(a).
Dividing by x+1 means we want p(-1).
p(-1) = (-1)³ - 2(-1)² -4(-1) - 1 = -1 - 2 + 4 - 1 = 0
Answer: 0
They go in evenly so x+1 is a factor of p(x).
2
Since it was x to the two