Jasmine corrects the error, and fires another test missile. This time the quadratic equation produced is y = 0.082x 2 + 2.179x + 0.391. In this part of the question, you are asked to consider the parabolic graph modelled by the equation y = 0.082x 2 + 2.179x + 0.391.

(i) Explain mathematically why the y-intercept is 0.391. [1] (ii) What does the y-intercept represent in the context of this model? [1]

(iii) Use the quadratic formula to find the x-intercepts. Give your answers correct to three decimal places. [4] page 3 of 11

(iv) In the simulation, an enemy cartoon ant stands 28 centimetres away horizontally on the battlefield. Explain why the test missile can't possibly hit the enemy cartoon ant. [2]

(v) Jasmine decides to add an obstacle of height 12 centimetres to the virtual battlefield. She positions it directly in the path of the test missile, at a distance of 18 centimetres horizontally from the launch position of the missile. Will the missile clear the obstacle? Explain your answer.