Question: Math MFM2PO Name: Date: Representing Quadratic Relations (Ch. 8) 6. A ball was dropped from the top of a building. Its path can be modeled

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Math MFM2PO Name: Date: Representing Quadratic Relations (Ch. 8) 6. A ball

MFM2PO Name: Date: Representing Quadratic Relations (Ch. 8) 6. A ball was dropped from the top of a building. Its path can be modeled by the quadratic relation h=-5x" +25, where his the height of the ball in metres and x is the time in seconds. a) How high is the building? b) When does the ball land on the ground? Show an algebraic solution. Round your answer to one decimal place. c) What is the height of the ball 2 seconds after it was dropped? Show an algebraic solution. 7. Given the parabola y = x2 + 2x - 8 a) Find the y-intercept. b) Find the x-intercepts by factoring. 10 8 6 4 -2 2 4 6 8 10 c) Find the vertex. d) Plot the graph. 8. A ball is tossed upward from the balcony of a high - rise apartment. The height / metres after seconds is given by h = -5(t - 6)(t + 2) . a) When does the ball hit the ground? b) What is the maximum height of the ball? At what time does the ball reach this height? c) Calculate the height of the ball after 3 seconds. pg. 2

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