Mathematics A H230: Algebra and Functions Topical Past Paper Questions

(a) The curve $ y = \sqrt{2x-1} $ is stretched by a scale factor $ \frac{1}{4} $ parallel to the x-axis. Find the equation of the curve after it has been stretched. [2] (b) The curve $ y = \sqrt{2x - 1} $ is translated by the vector $ \begin{pmatrix} -4 \\ 0 \end{pmatrix} $, and…

A particle P is moving in a straight line. At time t seconds, where $ t \geqslant 0 $, P has velocity $ v \, m \, s^{-1} $ and acceleration $ a \, m \, s^{-2} $ where a = 4t-9. It is given that v = 2 when t = 1. (a) Find an expression for v in terms of t. [3] The particle $P$ is…

Sam invested in a shares scheme. The value, £V, of Sam’s shares was reported t months after investment. - Exactly 6 months after investment, the value of Sam’s shares was £2375. - Exactly 1 year after investment, the value of Sam’s shares was £2825. (a) Using a straight-line mode…