Harder Graphs (Edexcel GCSE Maths): Flashcards

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Harder graphs
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General form of cubic graph

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

Characteristic shape feature of cubic graphs

Wiggle in middle section

Cubic graph direction when x3x^3 coefficient positive

Rises bottom left to top right

Cubic graph direction when x3x^3 coefficient negative

Falls top left to bottom right

General form of exponential graph

y=kxy = k^x where kk is positive

Point all exponential graphs pass through

(0,1)(0,1)

Position of exponential graphs relative to x-axis

Always above x-axis

General form of reciprocal graph

y=Axy = \frac{A}{x} or xy=Axy = A

Shape formed by reciprocal graphs

Hyperbola with two separate branches

Asymptotes of reciprocal graphs

x-axis and y-axis

Equation of circle centred at origin

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

How to find radius from x2+y2=r2x^2 + y^2 = r^2

Square root of constant term

Starting value of y=sinxy = \sin x when x=0x = 0

Zero

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