11TH•Mathematics•Theory Of Quadratic Functions•Question 2

Solution

Find the maximum or minimum point by sketching the following quadratic functions. Also find their domain and range:

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For $f(x)=ax^2+bx+c$ , the vertex occurs at:

x=h=-\frac{b}{2a}

and the corresponding value is $k=f(h)$ . The vertex is:

(h,k)

Domain of any quadratic polynomial is $\mathbb{R}$ .

Range depends on whether the parabola opens up ( $a>0$ ) or down ( $a<0$ ).

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