MAC1106- Final Exam Guide - Comprehensive Notes for the exam ( 372 pages long!)

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4. 3 quadratic functions and their properties notes: sterling. Intercepts example f (x) = x2 3x + 4. Y intercept(s) y = 02 3(0) + 4 y = 0 0 + 4 (0, 4) (x + 4)(x 1) = 0 y = 4 x = 4, 1 ( 4, 0) , (1, 0) (cid:0) 3. Any second-degree function (parabola) in the form of f (x) = ax2 + bx + c with both a 6= 0 and a, b, and c are real numbers and that has a domain of all real numbers. Method f (x) = ax2 + bx + c f (x) = a(x2 : + c b a. 4a2 h = b f (x) = a(x2 + b a x + f (x) = a(x2 + b a f (x) = a(x2 + b2. 4a2 ) x)2 + c a( b2. 4a x)2 + c b a k = c b2.