CAIE IGCSE Mathematics Extended Recognising and Sketching Functions

Practise sketching linear, quadratic, cubic, reciprocal and exponential functions with correct intercepts, turning points and asymptotes.

Exam points

sketch each function with the correct overall shape, branches and increasing or decreasing behaviour
identify roots, turning points and symmetry and show horizontal or vertical asymptotes where present
use turning levels and intersections to determine extrema or the possible number of equation roots

[Maximum number: 1]

The expression $5+12 x-2 x^{2}$ can be written in the form $q-2(x+p)^{2}$ .

Write down the coordinates of the maximum point of the curve $y=5+12 x-2 x^{2}$ .
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