1. Consider the function f(x) = -0.3x + 2.4x-7.8. a) Determine the vertex. b) Determine the...

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1. Consider the function f(x) = -0.3x + 2.4x-7.8. a) Determine the vertex. b) Determine the direction of opening. c) Calculate the discriminant. d) Determine the number of times the graph of the function intersects the x-axis. Explain your answer. 2. Consider the function f(x) = 3x + 7x k . a) For what values of k will the function have no zeros? b) For what values of k will the function have one zero? c) For what values of k will the function have two zeros? 5. A highway tunnel has a shape that can be modelled by the equation of a parabola. The tunnel is 18 m wide and the height of the tunnel 16 m from the edge is 5 m. a) Determine the equation of the parabola. b) Sketch a graph of your parabola. c) Can a truck that is 8 m tall and 4 m wide pass through the tunnel? Justify your decision. -15 -10 5 10 15 20 1. Consider the function f(x) = -0.3x + 2.4x-7.8. a) Determine the vertex. b) Determine the direction of opening. c) Calculate the discriminant. d) Determine the number of times the graph of the function intersects the x-axis. Explain your answer. 2. Consider the function f(x) = 3x + 7x k . a) For what values of k will the function have no zeros? b) For what values of k will the function have one zero? c) For what values of k will the function have two zeros? 5. A highway tunnel has a shape that can be modelled by the equation of a parabola. The tunnel is 18 m wide and the height of the tunnel 16 m from the edge is 5 m. a) Determine the equation of the parabola. b) Sketch a graph of your parabola. c) Can a truck that is 8 m tall and 4 m wide pass through the tunnel? Justify your decision. -15 -10 5 10 15 20