Higher June 2022 Paper 3 Q24
24 Here is a sketch of the graphs of \(\quad y = k^x \quad\) and \(\quad y = x^2 + c\)
\(k\) and \(c\) are positive constants.
Work out the value of \(r\). [4 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(\sqrt[4]{81}\) or \(81^{\frac{1}{4}}\) or \(k = 3\) | M1 | may be seen on diagram and is implied by \(p = 9\) |
| (their value for \(k)^2 = 2^2 + c\) or \(9 = 4 + c\) or \(c = 5\) | M1 | does not need to be evaluated |
| \(r^2 +\) their \(5 = 43.44\) or \(\sqrt{43.44 - \text{their } 5}\) or \(\sqrt{38.44}\) | M1dep | oe equation dep on previous mark |
| 6.2 | A1 |
Additional guidance
Coordinate (2, 9) implies \(p = 9\)