Expressing f(x) into a form suitable for drawing with vertex clearly shown Step 1: f(x) = 2x² + 6x + 7 = a (x + h )² + k By inspection a = 2, so far, we have Step 2: f(x) = 2x² + 6x + 7 = 2 (x + h )² + k To obtain h take the coefficient of x, divide it by the coefficient of x² and divide the result again by 2. h= 6 3 = Then we get 2 x? 3 ?k 2×2 2 2 2 ? x ?h ? ?k
2

? ?

2

Step 3: f(x) = 2x² + 6x + 7 = 2 (x + 3/2 )² + k 3 9 = 2 2 9 5 ?k =7, k= a ?h2??k=constant term of f ?x ? 2 2 2 3 5 So, f ? x?=2x 2?6x?7=2 x? ? 2 2 Calculate a ?h2? , we get 2

??

2

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Vertex = (-1.5, 2.5 ) and it is a mi