This question presents you with statements about a quadratic equation aa? + ba + c = 0. Your task is to decide whether each statement is always true, always false, or could be true or false depending on the values of a, b and c. It's possible to answer these questions using algebra, but you will find it easier to make a graph in DESMOS and play with sliders. Could be true or false Always Always depending on true false the values of a, b and с. If a, b and c are all negative, then the quadratic has no roots. There are choices for a, b and c which means the equation has 3 roots. If a > 0 and c < 0, then the quadratic must have two different roots. If a < 0 and c > 0, then the quadratic must have two different roots. If a > 0 then the quadratic curve y = ax² + bx + c has a maximum point.

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