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Mathematics P1 Step 11 of 11 beginner

The Hyperbola and Its Asymptotes

Read a hyperbola from its equation — both asymptotes, the shape, the axes of symmetry and its domain and range — and sketch it with confidence.

By the end, you can

find the asymptotes of a hyperbola, describe its shape and state its domain and range.

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The Hyperbola and Its Asymptotes

QUEST MATH-P1-HYPERBOLA

The graph with a hole in it

A hyperbola is the graph of a fraction with x in the denominator, and it behaves differently from every other function in Grade 12: it comes in two separate pieces, and there are values it can never take. 🪝

Those forbidden values are the asymptotes, and they are where almost all the marks in this topic sit.

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What you'll cover

  1. 1 The graph with a hole in itfree preview above
  2. 2 Reading the standard form
  3. 3 Why the asymptotes exist
  4. 4 Shape and quadrants
  5. 5 Intercepts and axes of symmetry
  6. 6 Domain, range and sketching
  7. 7 A routine for hyperbola questions
  8. 8 The challenge
  9. 9 What to take with you

Your certificate

Pass the challenge and it arrives straight away as a PDF. Add it to your CV or LinkedIn, and anyone can check it's real.

Certificate of completion

Your name here

has completed the MicroQuest

The Hyperbola and Its Asymptotes

LCA-2026-••••••••

Verify at skillsyms.com/verify

Informal learning, not an accredited qualification.

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The Hyperbola and Its Asymptotes: questions

How long does The Hyperbola and Its Asymptotes take?
About 13 minutes: 9 short lessons, 2 quick checks and a 5-question final challenge. Your progress is saved after every step, so you can stop and carry on later.
How much does The Hyperbola and Its Asymptotes cost?
R19, paid securely online, or 19 learning credits from your wallet. You pay once: if you don’t pass the challenge, you try again at no extra cost.
What do I need to pass?
4 out of 5 on the final challenge (80%). The quick checks along the way help you learn and do not count towards your mark.
Is the certificate accredited?
No. A MicroQuest is informal learning. Your certificate proves you completed it and has a number and QR code anyone can verify, but it is not an accredited qualification or SETA/QCTO credits, and it says so.
Can I do it on my phone?
Yes. Tap Start to learn in your phone’s browser, or send QUEST MATH-P1-HYPERBOLA to 076 263 6000 on WhatsApp. It is the same MicroQuest and the same certificate either way.

The Hyperbola and Its Asymptotes

R19 · 13 min · certificate

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