0

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

1. 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

1. 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

• 2) Insert the values into each equation to test if f(x)=y.

0=6(-2)^2+5(-2)-4

0=6(4)-10-4

0=24-14

0 does not equal 10 so this equation doesn’t work.

0=-4(-2)^2+5(-2)+6

0=-4(4)-10+6

0=-16-16

0 doesn’t equal -32 so this equation wont work either

0=5(-2)^2+4(-2)-6

0=5(4)-8-6

0=20-8-6

0 doesn’t equal 14 so this equation is also wrong

0=4(-2)^2+5(-2)-6

0=4(4)-10-6

0=16-16

This equation does work so now you just need to write it in standard form.

4x^2+5x-6=0

3) This one works the same way.

635=33(0)^2-24(0)+635

635=0-0+635

It works but lets try another combination just to make sure.

644=33(1)^2-24(1)+635

644=33-24+635

644=644

Now we just need to input 8 to see what we come up with.

P(8)=33(8)^2-24(8)+635

P(8)=33(64)-192+635

P(8)=2112-192+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
• you will love me for this trust me lol go to google type in wolframalpha go to this link actually http://www.wolframalpha.com/ type in each of your question at a time it will answer them all and show you how to do them TRUST ME IT WORKS!!

Source(s): my math teacher (: