It is given that $\mathrm{f}\left( x \right)=-4{{x}^{2}}+12x+7$. Sketch the graph of \(y=\mat

Question

It is given that $\mathrm{f}\left( x \right)=-4{{x}^{2}}+12x+7$. Sketch the graph of $y=\mathrm{f}\left( \left| x \right| \right)$, stating the coordinates of turning point(s) and of point(s) where $y=\mathrm{f}\left( \left| x \right| \right)$ crosses the axes.[3] Solve the inequality $-4{{x}^{2}}+12\left| x \right|+7\le 4x+7$.[2]

Accepted Answer

(ii) $x\le -4$ or $x=0$ or $x\ge 2$

2020 SAJC P1 Q1

2020 SAJC P1 Q1

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