The curve $C$ is given by the equation $x(x+8)=4{{(y-2)}^{2}}-12$ Sketch $C$, indicating clearly the

Question

The curve $C$ is given by the equation $x(x+8)=4{{(y-2)}^{2}}-12$ Sketch $C$, indicating clearly the key features of the curve. [You are not required to give the coordinates of the axial intercepts.] [4] State the range of values of $m$ such that there is no intersection between $C$ and the line $y=mx+4m+2$. [2]

Accepted Answer

$m\le -\frac{1}{2}$ or $m\ge \frac{1}{2}$

2020 HCI Promo Q4

2020 HCI Promo Q4

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