An object is thrown upwards from the top of a building. The equation y=-4(x-2)+36 represents the...

   

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An object is thrown upwards from the top of a building. The equation y=-4(x-2)+36 represents the height of the object above the ground, where y is the height (in metres), and x is the time (in seconds). (15 marks total) a) Determine the vertex, axis of symmetry, direction of opening, and maximum or minimum point of the graph. Make sure to state whether it is a maximum or minimum point. (2 marks: mark each) b) Determine the y-intercept for this graph. (2 marks) c) Change the equation to standard form, and then to factored form, in order to determine the x-intercepts. (5 marks) d) Draw the graph, indicating the vertex, and the x- and y-intercepts. (2 marks) e) What is the highest height attained by the object? (1 mark) f) How long after being thrown will it reach its highest height? (1 mark) An object is thrown upwards from the top of a building. The equation y=-4(x-2)+36 represents the height of the object above the ground, where y is the height (in metres), and x is the time (in seconds). (15 marks total) a) Determine the vertex, axis of symmetry, direction of opening, and maximum or minimum point of the graph. Make sure to state whether it is a maximum or minimum point. (2 marks: mark each) b) Determine the y-intercept for this graph. (2 marks) c) Change the equation to standard form, and then to factored form, in order to determine the x-intercepts. (5 marks) d) Draw the graph, indicating the vertex, and the x- and y-intercepts. (2 marks) e) What is the highest height attained by the object? (1 mark) f) How long after being thrown will it reach its highest height? (1 mark)