MAC1105 Lecture 15: 4.3 Quadratic Functions and Their Properties Notes
25 Feb 2017
School
Department
Course
Professor
Document Summary
Provide a generalization to the terms listed in this section. 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. Force equals mass times acceleration, which can be written as the following: When a parabola look like a u and have a lowest point called to absolute minimum. When a parabola look like a re ected u and have a highest point called to absolute maximum. Method f (x) = ax2 + bx + c f (x) = a(x2 : + c b a. 2a h2 = ( b h = b. 4a2 ) f (x) = a(x2 + b a x + f (x) = a(x2 + b a f (x) = a(x2 + x)2 + c a( b2. 4a x)2 + c b a k = c b2.
