Draw the graph of a general quadratic polynomial and observe a)the shape of curve when coefficient of x^2 is positive
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when the coefficient of x² is positive then graph of the function is concave up and when it is negative then it is concave down.
The graph of the polynomial with positive coefficient of x² (specific value a = 1) is given in the below figure and is in the green color.
The graph of the polynomial with negative coefficient of x² (specific value a = -1) is given in the below figure and is in the red color.
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