MATH 1100Y Quiz: MATH1101Y-quiz-solutions (2)
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Mathematics 1101y calculus i: functions and calculus of one variable. Friday, 24 monday, 27 september, 2010. (10 minutes: find the location of the tip of the parabola y = 2x2 + 2x 12, as well as its x- and y-intercepts. Note that since x2 has a positive coe cient, this parabola opens upwards. To nd the location of the tip of the parabola, we complete the square in the quadratic expression de ning the parabola: 2 y = 2x2 + 2x 12. It follows that the tip of the parabola occurs when x + 1 point y = 25 expression de ning the parabola: Thus thus the tip of the parabola is at the point (cid:0) 1. To nd the y-intercept of the parabola, we simply plug x = 0 into the quadratic. 2 , at which y = 2 02 + 2 0 12 = 0 + 0 12 = 12.
