Higher January 2019 Paper 2R Q18

EdexcelHigherCurrent spec4 marksGraphical Transformations

18 Here is the graph of \(y = \sin x^\circ\) for \(0 \leqslant x \leqslant 360\)

(a) On the grid above, sketch the graph of \(y = \sin(x + 90)^\circ\) for \(0 \leqslant x \leqslant 360\) (2)

In \(0 \leqslant x \leqslant 360\), the graph of \(y = \sin\left(\dfrac{x}{2}\right)^\circ + 3\) has a maximum at the point \(A\).

(b) Write down the coordinates of \(A\). (2)

Mark scheme (a)

Scheme	Marks
(0, 1), (90, 0), (180, −1), (270, 0), (360, 1)	M1
Curve through given coordinates	A1
	(2)

M1: for a translation of the curve parallel to the \(x\) axis

or

for a curve going through 3 correct points

A1: fully correct

Mark scheme (b)

M1: 1 coordinate correct

or a sketch of \(\sin\left(\dfrac{x}{2}\right)^\circ\) (corrected from the printed mark scheme, where the degree sign is printed as a superscript 0)

A1: for (180, 4)