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CHAPTER 3: QUADRATIC FUNCTION 3.0 Introduction Quadratic answer was describe as s multinomial function of power locate 2. hither is the take a crapal definition for quadratic polynomial polynomial polynomial polynomial function. Definition : A function f is a quadratic function if and only if f(x) provoke be written in the form f ( x) ? ax 2 ? bx ? c , where a, b, and c atomic number 18 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 cannot be written in the form g ( x) ? ax 2 ? bx ? c . 1  model 7 : State 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 manakin a quadratic equality In this sub-chapter, we will learn how to form a quadratic equation. We can form a quadratic equation if we train at least 3 points. allow form a quadratic equation by looking at an suit at a lower place. Example 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 take aim follows for q and r.

Step 1 : The cardinal points have to be supersede in a ordinary quadratic equation , y ? f ( x) ? ax 2 ? bx ? c 2 Thus, we bewilder a ? b ? c ? 2 ---------------------(1) 4a ? 2b ? c ? 6 ------------------(2) c = 4-------------------------------(3) Step 2: solve each the terce linear equation to get the 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) shed light on (4) and (5) using si multaneous equation. Then , we get 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 given 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, order it on our website: OrderEssay.net

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