1MA0 Higher November 2016 Paper 2 Q22
22
The graph of \(y = k^x\), where \(k\) is a positive constant, is shown above.
(a) Find the value of \(k\). (2)
The graph of \(y = \sin x^\circ\) for values of \(x\) from \(-270\) to \(+270\) is shown above.
(b) On the same axes, draw the graph of \(y = 1 - \sin x^\circ\) for values of \(x\) from \(-270\) to \(+270\) (2)
| Working | Answer | Mark | Notes |
|---|---|---|---|
| \(2 = k^{-1}\) | \(\tfrac{1}{2}\) | 2 | M1 for reading off and substituting a pair of values from the graph (excluding 0, 1) into the equation, eg \(x = -1\), \(y = 2\) A1 for \(\tfrac{1}{2}\) oe |
| Answer | Mark | Notes |
|---|---|---|
| correct graph | 2 | B2 cao (B1 for correct general shape, eg \(y = -\sin x^\circ\)) |