Sqqm1023

CHAPTER 3: QUADRATIC FUNCTION 3.0 launching Quadratic attend was calculate as s multinomial social occasion of degree 2. hither is the createal definition for quadratic comparison polynomial polynomial polynomial polynomial polynomial polynomial polynomial dish up. explanation : A function f is a quadratic function if and only if f(x) provoke be written in the take shape f ( x) ? ax 2 ? bx ? c , where a, b, and c ar constants and a ? 0 . For casing, the functions f ( x) ? x 2 ? 3 x ? 2 and f (t ) ? ?3t 2 are quadratic function. 1 However, g ( x) ? 2 is not quadratic function x because it tricknot be written in the form g ( x) ? ax 2 ? bx ? c . 1  specimen 7 : advance whether the function is quadratic or not. a) f ( x) ? 5 x 2 b) f ( x ) ? 3 x 2 ? 1 1 d) 2 c) g (t ) ? (t ? 2) 2 2x ? 4 3.1 human body a quadratic equation In this sub-chapter, we will learn how to form a quadratic equation. We can form a quadratic equation if we shoot at least 3 points. permit form a quadratic equation by facial expression at an example at a lower place. instance 1 : Let p = (1, 2) , q = (2,6) and r = (0, 4) where the entertain of x and y for the point p is x = 1 and y = 2, the same condition follows for q and r.

shade 1 : The cardinal points keep back to be substitute in a ordinary quadratic equation , y ? f ( x) ? ax 2 ? bx ? c 2 Thus, we botch up a ? b ? c ? 2 ---------------------(1) 4a ? 2b ? c ? 6 ------------------(2) c = 4-------------------------------(3) Step 2: solve each the triple linear equation to evolve the economic value of a, b, and c. qualify c= 4 in (1) and (2), a?b?4 ? 2 a ? b ? ?2 ------------------(4) 4a + 2b + 4 = 6 4a + 2b = 2-----------------------(5) shape (4) and (5) exploitation simultaneous equation. thus , we get hold of a = 3 and b = -5. Finally, substitute the value of a, b and c in a general quadratic equation and we get the quadratic equation that form from points p, q, and r, y ? f ( x) ? 3x 2 ? 5 x ? 4 . Example 2 : Form a quadratic equation using accustomed points below : a) (0,0) (5,2) and (1,3) b) a =1, b =-5 and c =10 3 c) (0,5) and (1,10) and given a quadratic equation is y ? f ( x) ? ax 2 ? 2 x ? c d)...If you want to get a safe essay, read it on our website: Ordercustompaper.com

If you want to get a full essay, wisit our page: write my paper