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Question 19 CAPS Hyperbola | Asymptotes, Symmetry & Distance

🔥 Struggling with Hyperbola questions in CAPS Mathematics? In this lesson, we solve a full Grade 11 CAPS exam-style hyperbola question step-by-step!

This Functions and Graphs revision lesson covers everything you need to master hyperbolas for tests and exams.

📘 We work with the hyperbola:

[
f(x)=\frac{-2}{x-1}+3
]

and apply CAPS exam techniques to solve every section clearly and accurately.

📘 In this video, we:

✅ Find the equations of asymptotes
✅ Determine x-intercepts and y-intercepts
✅ Sketch the hyperbola neatly
✅ Identify the axis of symmetry
✅ Work with parallel lines
✅ Calculate the distance between intersection points
✅ Solve transformation questions
✅ Apply CAPS exam methods step-by-step

📖 Concepts covered:

✔ Hyperbola graphs
✔ Rational functions
✔ Functions and Graphs
✔ Asymptotes
✔ Intercepts
✔ Axis of symmetry
✔ Parallel lines
✔ Distance between points
✔ Transformations
✔ CAPS exam problem solving

📚 Skills you will master:

✅ Sketching hyperbolas correctly
✅ Finding asymptotes directly from equations
✅ Identifying graph transformations
✅ Solving symmetry questions
✅ Working with linear equations and gradients
✅ Solving CAPS hyperbola questions faster in exams

🎯 Perfect for:

✔ Grade 11 CAPS Maths students
✔ Grade 10 learners preparing for Grade 11
✔ Grade 12 revision learners
✔ Functions and Graphs revision
✔ Test preparation
✔ Examination preparation

📌 By the end of this lesson, you will be able to:

✅ Solve full hyperbola questions confidently
✅ Identify asymptotes and intercepts quickly
✅ Sketch hyperbolas accurately
✅ Understand symmetry and transformations
✅ Solve CAPS exam questions step-by-step

📌 Don’t forget to:

👍 Like the video
🔔 Subscribe for more CAPS Maths lessons
💬 Comment your questions below

#CAPSMaths #Hyperbola #Grade11Maths #FunctionsAndGraphs #Mathematics #MathsRevision #Algebra #RationalFunctions #GraphTransformations #ExamPreparation #SouthAfrica #MathsTutorial #CAPSRevision #FunctionsAndGraphsRevision #Grade11CAPSMaths #HyperbolaRevision #MathsExamPrep #Asymptotes #Functions

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