The diagram shows a sketch of $$\(y=24+5 x-x^{2}\)$$. Work out the values of $$\(a, b\)$$ and $$\(c\)$$. $$\[ \begin{gathered} a= ............................................ \\ b= ............................................ \\ c= ............................................ \end{gathered} \]$$

Mathematics
IGCSE&ALevel
CAIE
Exam No:0580_w20_qp_43 Year:2020 Question No:7(a)(ii)

Answer:

\([a=]-3\)
\([b=] 8\)
\([c=] 24\)

Knowledge points:

E2.11.2 Solve associated equations approximately, including finding and interpreting roots by graphical methods. (Find turning points of quadratics by completing the square.)
E2.5.4 Derive and solve quadratic equations by factorisation, completing the square and by use of the formula.

Solution:

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