Question

1. What is the equation, in standard form, of a parabola that contains the following points?



(–2, 18), (0, 2), (4, 42)

(1 point)
y = –2x2 – 2x – 3
y = –3x2 + 2x – 2
y = 3x2 – 2x + 2
y = –2x2 + 3x + 2

2. What is the equation, in standard form, of a parabola that models the values in the table?

x –2 0 4
ƒ(x) 0 –6 78

(1 point)
y = 6x2 + 5x – 4
y = –4x2 – 5x + 6
y = 5x2 + 4x – 6
y = 4x2 + 5x – 6

3. A biologist took a count of the number of migrating waterfowl at a particular lake and recounted the lake’s population of waterfowl on each of the next six weeks.

Week 0 1 2 3 4 5 6
Population 635 644 719 860 1,067 1,340 1,679


Find a quadratic function that models the data as a function of x, the number of weeks. Use the model to estimate the number of waterfowl at the lake on week 8. (1 point)P(x) = 33x2 – 24x + 635; 2,555 waterfowl
P(x) = 38x2 + 24x + 585; 2,615 waterfowl
P(x) = 33x2 – 24x + 635; 2,084 waterfowl
P(x) = 38x2 + 24x + 585; 3,209 waterfowl