The display shows the graph of

y = (x^2+a)(x-b) , where

a and

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

Investigate the effect of changing

a and

b.

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 Investigate 5

3 Solving ax³+bx²+cx+d=0

4 Plot Quadratics (y=(x-a)²+b)

5 Exam Question

6 Exam Question

7 Investigate 7

8 Min and max

9 Exam Question

10 Exam Question

11 Find the gradient

12 O-test 1

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

14 Exam Question

15 Exam Question

16 Timed O-test

17 Plotting O-test 2

18 Exam Question

19 O-test 3

20 Exam Question

21 Equations in intercept form

22 Exam Question

23 O-test 2

24 Exam Question

25 Investigate 3

26 Straight line recognition 2

27 The vertical wedge

28 Exam Question

29 Exam Question

30 Investigate 2

31 Investigate Quadratic Roots

32 True or false O-test 2

33 Exam Question

34 O-test 2

35 Practise

36 Exam Question

37 Exam Question

38 Plot y=mx+c

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

40 Plot Quadratics (y=ax²+bx+c)

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

42 Exam Question

43 Straight line recognition 3

44 O-test 2

45 Exam Question

46 Exam Question

47 Finding equations

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

49 Exam Question

50 Investigate 4

51 y=ax³+bx²+cx+d

52 Finding perpendicular lines

53 Exam Question

54 O-test 1

55 ax+by+c=0

56 Cubics using a GDC

57 Exam Question

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

59 More on y=(x-a)²+b

60 Exam Question

61 Axis intercepts

62 Exam Question

63 Exam Question

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 Plotting O-test 1

73 Observation O-test 1

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 Game

83 Observation O-test 2

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 2

94 O-test 1

95 How to plot them 1

96 How to plot them

97 Find the equation

98 Investigate 6

99 Curve recognition

100 Form the cubic

101 Game

102 Factorising 2

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 Straight line recognition

117 Example 1

118 Example 1

119 How to plot them

120 Example 1

121 Find the equation

122 Example 2

123 Example 2

124 Example 2

125 True or false

126 Example 3

127 True or false 2

128 Exam Question

129 Example 3

130 Example 3

131 True or false O-test 1

132 Example 4

133 Finding equations 2

134 Example 4

135 Example 4

136 Example 5

137 Example 5

138 O-test 1

139 Finding equations 3

140 Example 5

141 Example 6

142 Example 6

143 Example 7

144 O-test 3

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 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 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 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