Question 1 CAPS Hyperbola | Full Exam Solution for Grade 11

🔥 Prepare for your CAPS Mathematics exams with this complete step-by-step solution to Hyperbola Question 1!

In this lesson, we solve a Grade 11 exam-style Functions and Graphs question involving a hyperbola and all its important properties.

📘 Given:

g(x)=+2

📘 In this video, we:
✅ Determine the equations of the asymptotes
✅ Calculate the x-intercept and y-intercept
✅ Sketch the graph correctly
✅ Determine where g(x)0
✅ Find the axis of symmetry with a positive gradient
✅ Determine the domain of h if h(x)=g(x+1)
✅ Apply CAPS Functions and Graphs concepts step-by-step

📚 Questions covered:

✔ 4.1 Equation of asymptotes
✔ 4.2 Intercepts with the axes
✔ 4.3 Sketching the graph
✔ 4.4 Values of x where g(x)0
✔ 4.5 Axis of symmetry (positive gradient)
✔ 4.6 Domain of h(x)=g(x+1)

📖 Concepts covered:

✔ Hyperbola graphs
✔ Vertical and horizontal asymptotes
✔ Domain and range
✔ Intercepts of a graph
✔ Graph sketching techniques
✔ Positive and negative regions of a graph
✔ Axes of symmetry of a hyperbola
✔ Graph transformations and translations
✔ Exam-style problem-solving methods

🎯 Perfect for:

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

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

✅ Find asymptotes quickly
✅ Calculate intercepts confidently
✅ Sketch hyperbolas accurately
✅ Determine where a function is positive or negative
✅ Find axes of symmetry
✅ Solve CAPS exam-style hyperbola questions

📌 Don’t forget to:

👍 Like the video
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💬 Comment your questions below

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