On the axes, sketch the graph of $$\(y=x^{2}+10 x+14\)$$, indicating the coordinates of the turning point.

Mathematics
IGCSE&ALevel
CAIE
Exam No:0580_s20_qp_41 Year:2020 Question No:8(c)(ii)

Answer:

Sketch of U-shaped parabola with a minimum indicated at \((-5,-11)\) with no part of graph in \(4^{\text {th }}\) quadrant

Knowledge points:

E2.11.1
E2.11.2 Solve associated equations approximately, including finding and interpreting roots by graphical methods. (Find turning points of quadratics by completing the square.)
E2.11.3 Draw and interpret graphs representing exponential growth and decay problems.
E2.11.4 Recognise, sketch and interpret graphs of functions. (Linear, quadratic, cubic, reciprocal and exponential.) (Knowledge of turning points and asymptotes is required.)

Solution:

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