National 6 Mathematics
Pupil Revision Booklet
Graphs
Please complete the questions and mark
using the answers. If you are stuck please ask
your teacher or drop into a supported study.
Graphs - Part 1
1. Write down an equation which describes the relationship between x and y in each
graph below :
(a)
y
(b)
4
y
(c)
y
6
20
o
360
o
2
x
o
o
360
x
o
-4
2.
180o
-2
-20
The graph of y  f (x) is shown opposite.
y
(a)
4
Draw a sketch of y  f (x) .
-3
(b)
Draw a sketch of y  f (x) 1 .
(c)
Draw a sketch of y  f (x 3) .
(d)
Draw a sketch of y  f 1 (x) .
o
x
x
Graphs - Part 2
1. Write down an equation which describes the relationship between x and y in each
graph below :
(a)
y
6
(b)
y
(c)
10
o
180
o
o
90
x
y
4
o
x
1
o
-6
2.
-10
180o
-2
The graph of y  f (x) is shown opposite.
y
4
(a)
Draw a sketch of y  f (x) .
(b)
Draw a sketch of y f (x) .
(c)
Draw a sketch of y f (x 2) .
(d)
Draw a sketch of y  4  f (x) .
-2
o
2
x
x
Graphs - Part 1 Answers
1.
(a)
y 4 sin x
(b)
y 20cos2x
(b)
y  10cos8x
(c)
y 4 sin 4x 2
Graphs - Part 2 Answers
1.
(a)
2.
(a)
y  6sin 2x
(b)
(c)
y
y
(d)
(-2,4)
4
-2
o
-4
2
x
-2
o
y  3cos 4x 1
(c)
y
y
(2,4)
2
x
-4
o
x
o
x