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 Min and max

2 Exam Question

3 Exam Question

4 Exam Question

5 Investigate 7

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

7 Exam Question

8 Exam Question

9 Find the gradient

10 O-test 1

11 Plotting O-test 2

12 Timed O-test

13 Exam Question

14 Equations in intercept form

15 Exam Question

16 O-test 2

17 Exam Question

18 O-test 3

19 Straight line recognition 2

20 The vertical wedge

21 Exam Question

22 Exam Question

23 Investigate 3

24 Investigate Quadratic Roots

25 True or false O-test 2

26 Exam Question

27 Exam Question

28 Investigate 2

29 Practise

30 Exam Question

31 Exam Question

32 O-test 2

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

34 Plot y=mx+c

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

36 Exam Question

37 Straight line recognition 3

38 O-test 2

39 Exam Question

40 Plot Quadratics (y=ax²+bx+c)

41 Finding equations

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

43 Exam Question

44 y=ax³+bx²+cx+d

45 Finding perpendicular lines

46 Exam Question

47 O-test 1

48 Exam Question

49 Investigate 4

50 ax+by+c=0

51 Cubics using a GDC

52 Exam Question

53 More on y=(x-a)²+b

54 Exam Question

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

56 Axis intercepts

57 Exam Question

58 Exam Question

59 Exam Question

60 Solving ax³+bx²+cx+d=0

61 Plot Quadratics (y=(x-a)²+b)

62 Exam Question

63 Exam Question

64 Investigate 5

65 Introduction

66 y=mx+c

67 Investigate 1

68 Investigate 1

69 Basic shape

70 Investigate 1

71 Plotting O-test 1

72 Observation O-test 1

73 Investigate 2

74 Investigate 2

75 Observation O-test

76 Plotting O-test 1

77 Investigate 2

78 Plotting O-test 2

79 Investigate 3

80 Investigate 3

81 Timed O-test

82 Observation O-test 2

83 Game

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 How to plot them 1

94 How to plot them

95 Find the equation

96 Investigate 6

97 O-test 1

98 How to plot them 2

99 Curve recognition

100 Form the cubic

101 Factorising 2

102 Game

103 How to sketch them

104 Factorising 1

105 Match Factors of Quadratic Curves

106 Axis of symmetry

107 Exam Question

108 Linear,quadratic,cubic

109 Perpendicular distance

110 Curve recognition 3

111 O-test 2

112 Exam Question

113 Game

114 Match Lines (y=mx+c)

115 Quadratic curve quiz

116 Example 1

117 Example 1

118 How to plot them

119 Example 1

120 Find the equation

121 Straight line recognition

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 Example 4

133 Example 4

134 Finding equations 2

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 Example 1

160 Exam Question

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 Plotting O-test 2

171 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 True or false O-test 2

179 O-test 1

180 Finding parallel lines 2

181 O-test 1

182 O-test 2

183 Exam Question

184 O-test 2

185 Finding parallel lines 3

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 Exam Question

195 Exam Question

196 Perpendicular gradients

197 Exam Question

198 Exam Question

199 Perpendicular gradients 2

200 Right angles

201 Exam Question

202 Finding perpendicular lines 2

203 Exam Question

204 Exam Question

205 Finding perpendicular lines 3

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 Exam Question

216 Finding lines - the method

217 Analysis

218 Linear graph quiz

219 Exam O-test

220 True or false

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