1.Write the function F(x)=2x²+12x-3 in vertex form.

2. Verify your answer to question 1 above by expanding and simplifying to standard form.

3. The profit, P(t), made at a fair depends on the price of the ticket, t. The profit is modelled by the function P(t)=-37t²+1776t-7500

a) Write the function in vertex form.

b) What is the maximum profit possible?

c) What is the price of the ticket that gives the maximum profit?

4.A model rocket is launched into the air. Its height, h(t), in metres after t seconds is

given by the function h(t)=-5t+40t+2

a) Use the quadratic formula to determine when the rocket hits the ground.

b) Use the quadratic formula to determine when the rocket is at a height of 77 metres.

5. Use the discriminant to determine the number of roots for each quadratic equation.

a) -2x²-3x-5=0

b)x²-10x=25