Determining Rules (VCE SSCE Mathematical Methods): Flashcards

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Determining rules
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Sufficient conditions (definition)

Just enough detail to determine the rule completely

Key technique for finding unknown parameters

Substitution

Points needed for one unknown parameter

One point

Points needed for two unknown parameters

Two points (to create simultaneous equations)

General form of rectangular hyperbola

y=ax−h+ky = \frac{a}{x-h} + k

General form of square root function

y=ax−h+ky = a\sqrt{x-h} + k

Centre-radius form of circle equation

(x−h)2+(y−k)2=r2(x-h)^2 + (y-k)^2 = r^2

(h,k)(h, k) in circle equation (x−h)2+(y−k)2=r2(x-h)^2 + (y-k)^2 = r^2

Centre of the circle

rr in circle equation (x−h)2+(y−k)2=r2(x-h)^2 + (y-k)^2 = r^2

Radius of the circle

Distance from centre to any point on circle

Always equal to the radius

Explore VCE SSCE Mathematical Methods Revision Notes by Topics

Rectangular Hyperbolas

The Truncus

Two Important Graphs

Circles

Determining Rules

Explore VCE SSCE Mathematical Methods Model Answers by Topics

Rectangular Hyperbolas

The Truncus

Two Important Graphs

Circles

Determining Rules

Explore VCE SSCE Mathematical Methods Quizzes by Topics

Rectangular Hyperbolas

The Truncus

Two Important Graphs

Circles

Determining Rules

Explore VCE SSCE Mathematical Methods Exam Questions by Topics

Rectangular Hyperbolas

The Truncus

Two Important Graphs

Circles

Determining Rules

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