Question: 3. You are being given a quadratic function in standard form, which is v = 2):2 - 26): + 72 (10 marks) a} Find the

3. You are being given a quadratic function in standard form, which is v = 2):2 - 26): + 72 (10 marks) a} Find the zeros (Jr-intercepts) of this function. { 3 marks} b} Write the equation of this quadratic function in factored form. (2 marks} c) Write the equation of its axis of symmetry. (1 mark} d} Find the optimal value of this function. {2 marks} e) Write the equation of this quadratic function in vertex form {2 marks} 4. An engineer needs to design a square-based berm ( a shallow container to prevent the spread of oil from a leaking oil tank). The cylindrical oil tank is 15 m in diameter, and has a height of 25 m. The berm must have a height of 4 m. Make the appropriate calculations and find the minimum dimensions of the berm. (5 marks} 5. Simplify the following and write the answers using only positive exponents. (24 marks) a . (3 marks) b. (x2-3y2) 2 ( 3 marks) a) Complete the following table of values for both the function y=2* and y= (2)" (7 marks) y=2x y = (2)* -3 b) Draw the graphs of the above function on the following two grids. (7 marks) c) Calculate the amount of money a $500 investment would make, if it were invested at 6%, compounded bimonthly for 5 years. (4 marks)

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