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

2 More on y=(x-a)²+b

3 Exam Question

4 Axis intercepts

5 Exam Question

6 Exam Question

7 Exam Question

8 Investigate 5

9 Solving ax³+bx²+cx+d=0

10 Plot Quadratics (y=(x-a)²+b)

11 Exam Question

12 Exam Question

13 Investigate 7

14 Min and max

15 Exam Question

16 Exam Question

17 Exam Question

18 O-test 1

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

20 Exam Question

21 Exam Question

22 Find the gradient

23 Plotting O-test 2

24 Timed O-test

25 Exam Question

26 Equations in intercept form

27 Exam Question

28 O-test 2

29 Exam Question

30 O-test 3

31 Investigate 3

32 Straight line recognition 2

33 The vertical wedge

34 Exam Question

35 Exam Question

36 Investigate 2

37 Investigate Quadratic Roots

38 True or false O-test 2

39 Exam Question

40 Exam Question

41 O-test 2

42 Practise

43 Exam Question

44 Exam Question

45 Plot y=mx+c

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

47 Plot Quadratics (y=ax²+bx+c)

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

49 Exam Question

50 Straight line recognition 3

51 O-test 2

52 Exam Question

53 Finding equations

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

55 Exam Question

56 Investigate 4

57 y=ax³+bx²+cx+d

58 Finding perpendicular lines

59 Exam Question

60 O-test 1

61 Exam Question

62 ax+by+c=0

63 Cubics using a GDC

64 Exam Question

65 Investigate 1

66 Basic shape

67 Introduction

68 y=mx+c

69 Investigate 1

70 Investigate 1

71 Plotting O-test 1

72 Investigate 2

73 Investigate 2

74 Plotting O-test 1

75 Observation O-test 1

76 Investigate 2

77 Observation O-test

78 Investigate 3

79 Timed O-test

80 Game

81 Observation O-test 2

82 Plotting O-test 2

83 Investigate 3

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 Observation O-test

90 Find the equation 2

91 Investigate 5

92 Game

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 How to sketch them

100 Factorising 1

101 Curve recognition

102 Form the cubic

103 Game

104 Factorising 2

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 Quadratic curve quiz

114 Game

115 Match Lines (y=mx+c)

116 Find the equation

117 Example 1

118 Straight line recognition

119 Example 1

120 Example 1

121 How to plot them

122 Example 2

123 Example 2

124 Example 2

125 True or false

126 True or false O-test 1

127 True or false 2

128 Example 3

129 Exam Question

130 Example 3

131 Example 3

132 Example 4

133 Finding equations 2

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 Observation O-test 1

168 Plotting O-test 1

169 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 Exam Question

198 Perpendicular gradients 2

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 Exam Question

210 O-test 4

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