Higher November 2024 Paper 6 Q22

(a) For each graph below, select its possible equation from this list.

• \(y = \sqrt{x - 4}\)
• \(y = 4^x\)
• \(y = x^4\)
• \(y = \dfrac{4}{x}\)
• \(y = \left(\dfrac{1}{4}\right)^x\)
• \(y = -4x^2\)
• \(y = 4\cos x\)
• \(y = \sqrt{4^2 - x^2}\)

(b) A graph is drawn on the axes below.

Not to scale

The equation of the graph is \(y = \sin(x + p)\), where \(0^\circ \leqslant x \leqslant 360^\circ\).
The \(x\)-intercepts are 130° and \(r\)°.

Write down the value of \(p\) and the value of \(r\). [2]