Part 1: Identify the vertex, focus, and directrix of each. Then sketch the graph.

1. y = -2(x -4)^2 - 1

2. x = (y - 1)^2 + 2

Step-by-step explanation:

The vertex form of a parabola is y = a(x - h)² + k  or  x = a(y - k)² + h

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)

yes.. it's proven to be 36.

answer:

at time x=0 we have 1000, at time x=1 we have 2000, at time x=2 we have 4000.  

so that's an initial value of 1000 and a ratio of 2,

y = 1000 (2^x)

hope this !