Gwyneth is developing a computer game based on the popular game Battleships. The objective of the game is to fire missiles to try to sink each other's ships. The trajectory of a missile after it is fired from a ship is modelled in the computer code by a quadratic equation of the form y = ax? + bx + c, where y represents the height (in centimetres) of the missile above the virtual sea, and x represents the horizontal distance (in centimetres) of the missile from the position where it was launched. The values of a, b and c are determined by the computer code that Gwyneth writes, and depend on the angle and force at which the missile is launched. You may assume that the virtual sea area where the battle takes place is completely flat and horizontal (a) The quadratic equation produced to model the trajectory of a test missile is y = -0.08x2 + 2.15x + 0.38. In this part of the question, you are asked to consider the graph modelled by this quadratic equation. (i) What does the y-intercept represent in the context of this model? (ii) Use the quadratic formula to find the x-intercepts. Give your answers correct to two decimal places

Gwyneth is developing a computer game based on the popular game Battleships. The objective of the game is to fire missiles to try to sink each other's ships. The trajectory of a missile after it is fired from a ship is modelled in the computer code by a quadratic equation of the form y = ax? + bx + c, where y represents the height (in centimetres) of the missile above the virtual sea, and x represents the horizontal distance (in centimetres) of the missile from the position where it was launched. The values of a, b and c are determined by the computer code that Gwyneth writes, and depend on the angle and force at which the missile is launched. You may assume that the virtual sea area where the battle takes place is completely flat and horizontal (a) The quadratic equation produced to model the trajectory of a test missile is y = -0.08x2 + 2.15x + 0.38. In this part of the question, you are asked to consider the graph modelled by this quadratic equation. (i) What does the y-intercept represent in the context of this model? (ii) Use the quadratic formula to find the x-intercepts. Give your answers correct to two decimal places

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter10: Quadratic Equations

Section10.5: Graphing Quadratic Equations

Problem 10.108TI: A toy rocket shot upward from the ground at a rate of 208 ft/sec has the quadratic equation of...

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