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
y = 6x^2 + 5x – 4
y = –4x^2 – 5x + 6
y = 5x^2 + 4x – 6
y = 4x^2 + 5x – 6
 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.
P(x) = 33×2 – 24x + 635; 2,555 waterfowl
P(x) = 38×2 + 24x + 585; 2,615 waterfowl
P(x) = 33×2 – 24x + 635; 2,084 waterfowl
P(x) = 38×2 + 24x + 585; 3,209 waterfowl
o and if you could check my answer on this one
 Suppose the function g(x) is used to model the height y of a ball x seconds after the ball is thrown up in the air. Suppose further that the ball reaches its maximum height of 7.5 feet in 5 seconds, and then hits the ground 3 seconds later. What would be an appropriate domain for g(x)? 3 ≤ x ≤ 5
–5 ≤ x ≤ 5
0 ≤ x ≤ 8 my answer
0 ≤ x ≤ 7.5
3 Answers

2) Insert the values into each equation to test if f(x)=y.
0=6(2)^2+5(2)4
0=6(4)104
0=2414
0 does not equal 10 so this equation doesn’t work.
0=4(2)^2+5(2)+6
0=4(4)10+6
0=1616
0 doesn’t equal 32 so this equation wont work either
0=5(2)^2+4(2)6
0=5(4)86
0=2086
0 doesn’t equal 14 so this equation is also wrong
0=4(2)^2+5(2)6
0=4(4)106
0=1616
This equation does work so now you just need to write it in standard form.
4x^2+5x6=0
3) This one works the same way.
635=33(0)^224(0)+635
635=00+635
It works but lets try another combination just to make sure.
644=33(1)^224(1)+635
644=3324+635
644=644
Now we just need to input 8 to see what we come up with.
P(8)=33(8)^224(8)+635
P(8)=33(64)192+635
P(8)=2112192+635
P(8)=2555 waterfowl
4)Your answer is correct. The total amount of time from when you throw the ball to when it hits the ground is 8 seconds so that’s the high point of the domain. Obviously the low point will be zero because the time starts as soon as the ball leaves your hand.

whole qcheck
1.c
2.d
3.a
4.b
5.c
Source(s): CA 
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Source(s): my math teacher (: