Determining Rules (VCE SSCE Mathematical Methods): Quizzes

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Determining rules
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What are sufficient conditions when determining rules for graphs?

Info needed to write equations completely

How many points are needed to find two unknown parameters in an equation?

Two points to create simultaneous eqns

What is the general form of a rectangular hyperbola?

y=axh+ky = \frac{a}{x-h} + k

If y=ax+8y = \frac{a}{x} + 8 passes through (2,6)(-2, 6), what is aa?

a=4a = 4

When solving simultaneous equations, what should you look for?

Opportunities to eliminate one variable

What is the general form of a square root function?

y=axh+ky = a\sqrt{x-h} + k

What technique can simplify algebra for square root functions?

Dividing one equation by another

What is the centre-radius form for a circle's equation?

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

Circle with centre (1,1)(1, -1) through (4,3)(4, 3) has radius:

r=5r = 5

After finding parameters, what should you always do?

Verify by substituting original points

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