Curriculum
Course: Pure Mathematics — Second Secondary
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Curriculum

Pure Mathematics — Second Secondary

Unit 1: Real Functions and Curve Sketching

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Unit 2: Exponents and Logarithms

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Unit 3: Limits

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Unit 4: Trigonometry

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Text lesson

Graphing Functions

Pure Mathematics — Second Secondary

Graphing Functions

Lesson summary

Lesson summary

Comparison aspectMain ideaKeywords
f(x) + avertical translation by averticaltranslation
f(x + a)horizontal translation by a in the opposite direction to the sign of ahorizontaltranslationoppositedirection
k · f(x)
  • vertical stretch when k > 1
  • and vertical compression when 0 < k < 1
verticalstretchcompression
−f(x)
  • reflection in the x-axis
  • and f(−x): reflection in the y-axis
reflectionaxis
•
  • To write the equation of a translated graph
  • add the horizontal shift inside the bracket and the vertical shift outside it
writeequationtranslatedgraph
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