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)

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)