Theory of Intelligence
11TH•Mathematics•Theory Of Quadratic Functions•Exercise 3.1

Key ideas

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Key ideas

For f(x)=ax2+bx+cf(x)=ax^2+bx+c:

h=−b2a,k=f(h) h=-\frac{b}{2a},\qquad k=f(h)
  • Vertex: (h,k)(h,k)
  • If a>0a>0 then range is [k,∞)[k,\infty)
  • If a<0a<0 then range is (−∞,k](-\infty,k]
  • Domain is always R\mathbb{R} for quadratic polynomials.

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