CORE 1 for Edexcel
www.doyourmath.co.uk
C1 : Sketching and Transforming graphs questions
Name:
Percentage:
Class:
Effort:
1.
The above figure shows a sketch of the curve with equation y=x(x-2)(x+3) . The graph crosses the x-axis at the points
(0,0) , (2,0) and (-3,0). In separate diagrams, sketch the curves with the following equations. On each diagram show
clearly the coordinates of each point at which the curve crosses the x-axis.
a) y=f(2x)
b) y=f(x-3)
c) y=f(-x)
d) y=-f(x)
(8)
2.
The above figure shows a sketch of the curve with equation y=(x-1)2 x . The graph crosses the x-axis at the point (0,0)
1 4
and touches the x-axis at (1,0). The maximum point on the curve is ( , ) .In separate diagrams, sketch the curves
3 27
with the following equations. On each diagram show clearly the coordinates of each point at which the curve crosses the
x-axis and the coordinates of the vertex.
1
a) y=f( x)
2
b) y=f(3+x)
c) y=f(-x)
d) y=-3f(x)
e) The maximum point of the curve f(x+a) is on the y-axis. Write down the value of the constant a.
(13)
Mr Petros
www.doyourmath.co.uk
CORE 1 for Edexcel
www.doyourmath.co.uk
3.
The above figure shows a sketch of the curve with equation y=f(x). The graph has a maximum
point B(-1,0), a minimum point A(1,-4), x-intercept +2 and y-intercept -2. In separate diagrams,
sketch the curves with the following equations, showing clearly the coordinates of each point at
which the curve crosses the x-axis and the coordinates of both vertices (max and min).
a) Write down the equation of this curve.
Sketch
b) y=f(x-2)
c) y=f(-x)
d) y=f(2x)
e) y=f(x)-3
f) The y-intercept of the curve f(x)+a is 0 (zero). Write down the value of the constant a.
(14)
Mr Petros
www.doyourmath.co.uk
CORE 1 for Edexcel
www.doyourmath.co.uk
4.
The above figure shows a sketch of the curve with equation y = f(x) where
𝑥
𝑓(𝑥) =
, 𝑥 ≠ −3
𝑥+3
The curve passes through the origin and has two asymptotes, with equations y = 1 and x = -3, as
shown in the Figure.
(a) In the space below, sketch the curve with equation y = f(x − 4) and state the equations of the
asymptotes of this curve.
(3)
(b) Find the coordinates of the points where the curve with equation y = f(x − 4) crosses the
coordinate axes.
(4)
5. Given that
𝑓(𝑥) =
2
, 𝑥≠0
𝑥
(a) Sketch the graph of y = f(x) - 3 and state the equations of the asymptotes.
(4)
(b) Find the coordinates of the point where y = f(x) - 3 crosses a coordinate axis.
(2)
Overall, for this work I think my success level is:
Mr Petros
Low
O
High
O
www.doyourmath.co.uk
O
O
CORE 1 for Edexcel
www.doyourmath.co.uk
Skill
Qu



I can sketch a translation of a given graph
I can sketch a reflection of a given graph
I can sketch an enlargement of a given graph
I can write down the equation of a cubic given its graph and
vice versa (sketch the cubic given its equation)
I can sketch the graph of a basic reciprocal function (1/x) and
identify its asymptotes
I can sketch a graph of the transformation of the basic
reciprocal function and identify its asymptotes and the points
of intersection with both the axes
I can sketch the transformation of ANY reciprocal function and
identify its asymptotes and the points of intersection with both
the axes
Did your score match your estimated ‘success level’ ?
 Yippee!! - I got all the questions correct.
 I got most of the questions correct.
 I made too many mistakes and need to practise this topic more.
Top 3 topics I need to study further are:
☺
☺
☺
Mr Petros
www.doyourmath.co.uk