The display shows the graph of

y = (x-a)(x-b)(x-c) , where

a,

b and

c are constants. Graphs like these are called cubic graphs.

Investigate the effect of changing

a,

b and

c.

Make sure that you are clear about these aspects of a cubic graph:

- its basic shape
- its symmetry
- the number of places where the curve crosses the x-axis

More in this topic

1 Exam Question

2 Exam Question

3 Investigate 5

4 Solving ax³+bx²+cx+d=0

5 Plot Quadratics (y=(x-a)²+b)

6 Exam Question

7 Exam Question

8 Investigate 7

9 Min and max

10 Exam Question

11 Exam Question

12 Exam Question

13 O-test 1

14 Match Lines (y=mx+c) to Points

15 Exam Question

16 Exam Question

17 Find the gradient

18 Timed O-test

19 Plotting O-test 2

20 Exam Question

21 Equations in intercept form

22 Exam Question

23 O-test 2

24 Exam Question

25 O-test 3

26 Investigate 3

27 Straight line recognition 2

28 The vertical wedge

29 Exam Question

30 Exam Question

31 Investigate 2

32 Investigate Quadratic Roots

33 True or false O-test 2

34 Exam Question

35 Exam Question

36 O-test 2

37 Practise

38 Exam Question

39 Exam Question

40 Plot y=mx+c

41 y=c(x-a)(x-b)

42 Plot Quadratics (y=ax²+bx+c)

43 Plot Quadratics (y=(x-a)(x-b))

44 Exam Question

45 Straight line recognition 3

46 O-test 2

47 Exam Question

48 Finding equations

49 y=(x-a)(x-b)(x-c)

50 Exam Question

51 Investigate 4

52 y=ax³+bx²+cx+d

53 Finding perpendicular lines

54 Exam Question

55 O-test 1

56 Exam Question

57 ax+by+c=0

58 Cubics using a GDC

59 Exam Question

60 y-y_{1}=m(x-x_{1})

61 More on y=(x-a)²+b

62 Exam Question

63 Axis intercepts

64 Exam Question

65 Introduction

66 y=mx+c

67 Investigate 1

68 Investigate 1

69 Investigate 1

70 Basic shape

71 Investigate 2

72 Investigate 2

73 Plotting O-test 1

74 Observation O-test 1

75 Investigate 2

76 Observation O-test

77 Plotting O-test 1

78 Game

79 Observation O-test 2

80 Plotting O-test 2

81 Investigate 3

82 Investigate 3

83 Timed O-test

84 Find the equation 1

85 Investigate 4

86 More on y=(x-a)(x-b)

87 Identify the coefficients

88 Using a GDC

89 Find the equation 2

90 Investigate 5

91 Game

92 Observation O-test

93 O-test 1

94 How to plot them 2

95 How to plot them 1

96 How to plot them

97 Find the equation

98 Investigate 6

99 Factorising 1

100 Curve recognition

101 Form the cubic

102 Game

103 Factorising 2

104 How to sketch them

105 Match Factors of Quadratic Curves

106 Axis of symmetry

107 Exam Question

108 Exam Question

109 Linear,quadratic,cubic

110 Perpendicular distance

111 Curve recognition 3

112 O-test 2

113 Game

114 Match Lines (y=mx+c)

115 Quadratic curve quiz

116 Straight line recognition

117 Example 1

118 Example 1

119 How to plot them

120 Find the equation

121 Example 1

122 Example 2

123 Example 2

124 Example 2

125 True or false

126 True or false 2

127 Example 3

128 Exam Question

129 Example 3

130 Example 3

131 True or false O-test 1

132 Finding equations 2

133 Example 4

134 Example 4

135 Example 4

136 Example 5

137 O-test 1

138 Example 5

139 Finding equations 3

140 Example 5

141 Example 6

142 Example 6

143 O-test 3

144 Example 7

145 Example 8

146 Example 9

147 Exam Question

148 Exam Question

149 Exam Question

150 Exam Question

151 Exam Question

152 Exam Question

153 Exam Question

154 Exam Question

155 Exam Question

156 Exam Question

157 Exam Question

158 Exam Question

159 Exam Question

160 Example 1

161 Exam Question

162 Example 2

163 Exam Question

164 Example 3

165 Example 4

166 Example 5

167 Plotting O-test 1

168 O-test 1

169 Observation O-test 1

170 O-test 2

171 Plotting O-test 2

172 O-test 3

173 O-test 4

174 O-test 5

175 True or false O-test

176 Finding parallel lines

177 True or false O-test 1

178 O-test 1

179 True or false O-test 2

180 O-test 1

181 Finding parallel lines 2

182 Finding parallel lines 3

183 O-test 2

184 Exam Question

185 O-test 2

186 Exam Question

187 Exam Question

188 Exam Question

189 Exam Question

190 Exam Question

191 Exam Question

192 Exam Question

193 Parallel and perpendicular lines

194 Perpendicular gradients

195 Exam Question

196 Exam Question

197 Perpendicular gradients 2

198 Exam Question

199 Exam Question

200 Right angles

201 Exam Question

202 Finding perpendicular lines 2

203 Exam Question

204 Finding perpendicular lines 3

205 Exam Question

206 Finding perpendicular lines 4

207 Exam Question

208 Exam Question

209 O-test 4

210 Exam Question

211 Exam Question

212 Exam Question

213 Vocabulary O-test

214 Exam Question

215 Finding lines - the method

216 Exam Question

217 Analysis

218 Linear graph quiz

219 True or false

220 Exam O-test

221 True or false 2

222 True or false O-test 1

223 True or false O-test 2

224 Quiz

225 Quiz 2

226 Timed O-test

227 O-test 5

228 O-test 6

229 Exam O-test 1

230 Exam O-test 2

231 Exam O-test 3

232 Exam O-test 4

233 Exam O-test 5

234 Exam O-test 6

235 Exam O-test 7