WATER PARK By: Victoria Lim (Hla Myat Noe Thein) 24/09/21 MHF4U Unit 1 Assignment: Create your own Water Park CHOSEN AGE GROUP ➢ Under 6 years old ➢ Above 12 years old UNDER 6 YEARS OLD ▪ Negative leading coefficient ▪ Quadrant 2 to 4 ▪ 5 meters ▪ Safety : Priority Equation: y= -1/1980 (x-19) (x-4) (x-50) + 3 Domain: -∞ < x < ∞ Range: -∞ < f(x) < ∞ x-intercept: 53.481 y-intercept: 4.919 ≈ 5 Local minimum: One (10.789, 1.896) Local maximum: One (37.877, 6.915) ABOVE 12 YEARS OLD ▪ Negative leading coefficient ▪ Quadrant 2 to 4 ▪ Exciting and thrilling Equation: y= -1/500(x-15) (x-6) (x-55) + 5.1 Domain: -∞ < x < ∞ Range: -∞ < f(x) < ∞ x-intercept: 56.231 y-intercept: 15 Local minimum: One (10.274, 3.293) Local maximum: One (40.392, 30.614) COMPARISON ▪ The average rate of change are different. ▪ The ride for under 6 years old children has a lower height, and it is flatter than above 12 years old due to their safety. Equation: y= -1/1980 (x-19) (x-4) (x-50) + 3 Under 6 years old Equation: y= -1/500(x-15) (x-6) (x-55) + 5.1 Above 12 years old