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 ax+by+c=0

2 Exam Question

3 Exam Question

4 Exam Question

5 O-test 2

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

7 More on y=(x-a)²+b

8 Plot Quadratics (y=(x-a)²+b)

9 Exam Question

10 Plot Quadratics (y=ax²+bx+c)

11 O-test 2

12 O-test 2

13 Exam Question

14 Solving ax³+bx²+cx+d=0

15 Axis intercepts

16 Exam Question

17 Investigate 4

18 Min and max

19 Finding perpendicular lines

20 Exam Question

21 Exam Question

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

23 Exam Question

24 Exam Question

25 Exam Question

26 Exam Question

27 Exam Question

28 Straight line recognition 2

29 Exam Question

30 Exam Question

31 Investigate 5

32 Investigate Quadratic Roots

33 Equations in intercept form

34 Exam Question

35 Exam Question

36 O-test 1

37 Exam Question

38 Investigate 7

39 Practise

40 The vertical wedge

41 Exam Question

42 Exam Question

43 Find the gradient

44 O-test 1

45 Plot y=mx+c

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

47 Cubics using a GDC

48 Exam Question

49 Timed O-test

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

51 Exam Question

52 Plotting O-test 2

53 Exam Question

54 O-test 3

55 Finding equations

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

57 Exam Question

58 Exam Question

59 Investigate 3

60 y=ax³+bx²+cx+d

61 Straight line recognition 3

62 True or false O-test 2

63 Exam Question

64 Investigate 2

65 y=mx+c

66 Basic shape

67 Investigate 1

68 Investigate 1

69 Introduction

70 Investigate 1

71 Investigate 2

72 Plotting O-test 1

73 Plotting O-test 1

74 Investigate 2

75 Observation O-test

76 Investigate 2

77 Observation O-test 1

78 Plotting O-test 2

79 Investigate 3

80 Investigate 3

81 Timed O-test

82 Game

83 Observation O-test 2

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

85 Using a GDC

86 Identify the coefficients

87 Find the equation 1

88 Investigate 4

89 Game

90 Observation O-test

91 Find the equation 2

92 Investigate 5

93 Find the equation

94 Investigate 6

95 How to plot them 2

96 How to plot them 1

97 O-test 1

98 How to plot them

99 Factorising 1

100 Curve recognition

101 How to sketch them

102 Factorising 2

103 Form the cubic

104 Game

105 Exam Question

106 Axis of symmetry

107 Match Factors of Quadratic Curves

108 Curve recognition 3

109 O-test 2

110 Perpendicular distance

111 Linear,quadratic,cubic

112 Exam Question

113 Quadratic curve quiz

114 Game

115 Match Lines (y=mx+c)

116 Straight line recognition

117 How to plot them

118 Example 1

119 Find the equation

120 Example 1

121 Example 1

122 Example 2

123 True or false

124 Example 2

125 Example 2

126 True or false O-test 1

127 True or false 2

128 Example 3

129 Example 3

130 Exam Question

131 Example 3

132 Example 4

133 Finding equations 2

134 Example 4

135 Example 4

136 Finding equations 3

137 Example 5

138 Example 5

139 Example 5

140 O-test 1

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 Example 1

160 Exam Question

161 Example 2

162 Exam Question

163 Example 3

164 Exam Question

165 Example 4

166 Example 5

167 O-test 1

168 Observation O-test 1

169 Plotting 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 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 Exam Question

203 Finding perpendicular lines 2

204 Exam Question

205 Finding perpendicular lines 3

206 Exam Question

207 Finding perpendicular lines 4

208 Exam Question

209 O-test 4

210 Exam Question

211 Exam Question

212 Exam Question

213 Exam Question

214 Vocabulary O-test

215 Finding lines - the method

216 Exam Question

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