Harder Graphs (AQA GCSE Maths): Flashcards

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Harder graphs
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General form of cubic graph equation

y=ax3+bx2+cx+dy = ax^3 + bx^2 + cx + d

Characteristic shape of cubic graphs

Always have a 'wiggle' in the middle

Equation for circle centred at origin with radius rr

x2+y2=r2x^2 + y^2 = r^2

Angle between tangent and radius at point of contact

90° (perpendicular)

Two main forms of exponential graphs

y=kxy = k^x and y=kxy = k^{-x}

Point all exponential graphs pass through

(0, 1)

Forms of reciprocal graph equations

y = rac{A}{x} or xy=Axy = A

Value of xx where reciprocal graphs are undefined

x=0x = 0

Range limits for sine and cosine graphs

Between +1 and -1

Period of tangent function (how often it repeats)

Every 180°

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