Kelley Peters
06/27/2024 · Primary School

\( f(x)=a(x-2)(x-8) \). \( \begin{array}{l}\text { Niki har fotograferat en regnbåge. Hon upp- } \\ \text { skattar regnbågens höjd till } 30 \text { meter och } \\ \text { regnbågens bredd till } 80 \text { meter. Niki tänker } \\ \text { att regnbågens form, åtminstone ungefärligt, } \\ \text { borde kunna beskrivas med en andragrads- } \\ \text { funktion. Hon lägger därför in bilden i ett } \\ \text { koordinatsystem. }\end{array} \) \$

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Niki har valt att beskriva regnbågens form med funktionen \( f(x) = -\frac{10}{3}(x-2)(x-8) \). Funktionen är baserad på att regnbågen har en maximal höjd på 30 meter vid \( x = 5 \) och sträcker sig över en bredd av 80 meter.

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