State the centre and semi-axes of ((x + 1)^2)/(16) + (y^2)/(9) = 1. [2 marks]

Find the asymptotes of (x^2)/(4) - (y^2)/(1) = 1. [2 marks]

VICSpecialist MathematicsQuick questions

Unit 3: Functions, relations and graphs

Quick questions on Graphs of conics and parametric curves: VCE Specialist Mathematics Unit 3

Q: What is wrong asymptote gradient?

For ((x-h)^2)/(a^2) - ((y-k)^2)/(b^2) = 1 the asymptote gradients are (b)/(a), not (a)/(b).

Q: What is q3?

Eliminate the parameter from x = 1 + 2cos t, y = 3 + 2sin t. [3 marks]

4short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is wrong asymptote gradient?

Show answer

For

\frac{(x-h)^2}{a^2} - \frac{(y-k)^2}{b^2} = 1

the asymptote gradients are

\pm\frac{b}{a}

, not

\pm\frac{a}{b}

What is q1?

Show answer

State the centre and semi-axes of

\frac{(x + 1)^2}{16} + \frac{y^2}{9} = 1

. [2 marks]

What is q2?

Show answer

Find the asymptotes of

\frac{x^2}{4} - \frac{y^2}{1} = 1

. [2 marks]

What is q3?

Show answer

Eliminate the parameter from

x = 1 + 2\cos t

y = 3 + 2\sin t

. [3 marks]

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