Investigate the effect of changing $a$ and $b$.

Make sure that you are clear about these aspects of a quadratic graph:

- its basic shape
- its symmetry
- the number of places where the curve crosses the x-axis
- how the values of $a$ and $b$ affect the shape and position of the curve

More in this topic

1 Axis intercepts

2 Exam Question

3 Exam Question

4 Exam Question

5 Solving ax³+bx²+cx+d=0

6 Plot Quadratics (y=(x-a)²+b)

7 Exam Question

8 Exam Question

9 Investigate 5

10 Min and max

11 Exam Question

12 Exam Question

13 Exam Question

14 Investigate 7

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

16 Exam Question

17 Exam Question

18 Find the gradient

19 O-test 1

20 Plotting O-test 2

21 Timed O-test

22 Exam Question

23 Equations in intercept form

24 Exam Question

25 O-test 2

26 Exam Question

27 O-test 3

28 Straight line recognition 2

29 The vertical wedge

30 Exam Question

31 Exam Question

32 Investigate 3

33 Investigate Quadratic Roots

34 True or false O-test 2

35 Exam Question

36 Exam Question

37 Investigate 2

38 Practise

39 Exam Question

40 Exam Question

41 O-test 2

42 Plot y=mx+c

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

44 Plot Quadratics (y=ax²+bx+c)

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

46 Exam Question

47 Straight line recognition 3

48 O-test 2

49 Exam Question

50 Finding equations

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

52 Exam Question

53 y=ax³+bx²+cx+d

54 Finding perpendicular lines

55 Exam Question

56 O-test 1

57 Exam Question

58 Investigate 4

59 ax+by+c=0

60 Cubics using a GDC

61 Exam Question

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

63 More on y=(x-a)²+b

64 Exam Question

65 Basic shape

66 Investigate 1

67 Introduction

68 y=mx+c

69 Investigate 1

70 Investigate 1

71 Plotting O-test 1

72 Investigate 2

73 Plotting O-test 1

74 Observation O-test 1

75 Investigate 2

76 Investigate 2

77 Observation O-test

78 Timed O-test

79 Observation O-test 2

80 Game

81 Plotting O-test 2

82 Investigate 3

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 Factorising 2

104 Game

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 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 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 Plotting O-test 1

168 O-test 1

169 Observation 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 Perpendicular gradients 2

198 Exam Question

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