The six figures below show the possible shapes of graphs. Which of the graphs shown could be the gra

Question

The six figures below show the possible shapes of graphs. Which of the graphs shown could be the graph of
1. $y=2^x$,[1]
2. $y=\dfrac3{x^2}$,[1]
3. $x+y=1$?[1]
For $y=x\left(49-\dfrac{x^2}{4}\right)$:
1. Complete the table of values.[1]
  $x$ $0$ $2$ $4$ $6$ $8$ $10$ $12$
  $y$ $0$ $96$ $180$ $264$ $240$ $156$
2. On the grid, draw the graph of $y=x\left(49-\dfrac{x^2}{4}\right)$ for $0\leq x\leq12$.[3]
3. The line $y=kx+120$, where $k$ is a constant, is a tangent to the curve. By drawing a suitable straight line on the graph, find the value of $k$.[2]

Figure 1

Figure 2

Figure 3

Figure 4

Figure 5

Figure 6

Accepted Answer

(a)(i) Figure 5 (ii) Figure 4 (iii) Figure 3 (b)(i) $240$ (ii) graph (iii) $k\approx20$

2025 CCHY PRELIMS P2 Q2