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 2

3 Investigate Quadratic Roots

4 True or false O-test 2

5 Exam Question

6 Exam Question

7 O-test 2

8 Practise

9 Exam Question

10 Plot y=mx+c

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

12 O-test 2

13 Exam Question

14 Plot Quadratics (y=ax²+bx+c)

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

16 Exam Question

17 Straight line recognition 3

18 Exam Question

19 Finding equations

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

21 O-test 1

22 Exam Question

23 Investigate 4

24 y=ax³+bx²+cx+d

25 Finding perpendicular lines

26 Exam Question

27 Exam Question

28 ax+by+c=0

29 Cubics using a GDC

30 Exam Question

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

32 More on y=(x-a)²+b

33 Axis intercepts

34 Exam Question

35 Exam Question

36 Exam Question

37 Exam Question

38 Investigate 5

39 Solving ax³+bx²+cx+d=0

40 Plot Quadratics (y=(x-a)²+b)

41 Exam Question

42 Exam Question

43 Investigate 7

44 Min and max

45 Exam Question

46 Exam Question

47 Exam Question

48 Find the gradient

49 O-test 1

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

51 Exam Question

52 Plotting O-test 2

53 Timed O-test

54 O-test 2

55 Exam Question

56 O-test 3

57 Exam Question

58 Equations in intercept form

59 Exam Question

60 Exam Question

61 Investigate 3

62 Straight line recognition 2

63 The vertical wedge

64 Exam Question

65 y=mx+c

66 Investigate 1

67 Investigate 1

68 Investigate 1

69 Basic shape

70 Introduction

71 Investigate 2

72 Observation O-test

73 Plotting O-test 1

74 Investigate 2

75 Observation O-test 1

76 Investigate 2

77 Plotting O-test 1

78 Investigate 3

79 Investigate 3

80 Timed O-test

81 Observation O-test 2

82 Game

83 Plotting O-test 2

84 Using a GDC

85 Find the equation 1

86 Investigate 4

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

88 Identify the coefficients

89 Game

90 Observation O-test

91 Find the equation 2

92 Investigate 5

93 How to plot them

94 Find the equation

95 Investigate 6

96 O-test 1

97 How to plot them 2

98 How to plot them 1

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 Perpendicular distance

109 Curve recognition 3

110 O-test 2

111 Exam Question

112 Linear,quadratic,cubic

113 Game

114 Match Lines (y=mx+c)

115 Quadratic curve quiz

116 How to plot them

117 Example 1

118 Find the equation

119 Straight line recognition

120 Example 1

121 Example 1

122 Example 2

123 Example 2

124 True or false

125 Example 2

126 Exam Question

127 Example 3

128 Example 3

129 True or false O-test 1

130 Example 3

131 True or false 2

132 Example 4

133 Example 4

134 Example 4

135 Finding equations 2

136 Example 5

137 O-test 1

138 Example 5

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 Example 2

162 Exam Question

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 Finding parallel lines 2

179 O-test 1

180 True or false O-test 2

181 O-test 1

182 O-test 2

183 Finding parallel lines 3

184 O-test 2

185 Exam Question

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 Finding perpendicular lines 3

205 Exam Question

206 Exam Question

207 Finding perpendicular lines 4

208 Exam Question

209 Exam Question

210 O-test 4

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 Timed O-test

226 Quiz 2

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