CAPE Pure Mathematics Unit 1 · May/June 2013 · Paper 1 · Question Q44

Given \frac{dy}{dx} = 2x, then possible sketches of the graph of y are I. A parabola opening upwards with vertex at (0, 1), passing through (-1, 1) and (1, 1)? II. A parabola opening upwards with vertex at (1, 0) passing through (-1, 1) and (2, 1)? III. A parabola opening upwards with vertex on the y-axis below the x-axis, symmetric about the y-axis. IV. A parabola opening upwards with vertex on the y-axis below the x-axis, passing through (-1, 2) and (1, 2).

1. (A)I and II only
2. (B)III and IV only
3. (C)I, III and IV only
4. (D)II, III and IV only

This question uses a figure or table from the paper — you'll see it when you practise.