Covers the various sections relating to Functions - Straight Line, Parabola and Hyperbola - within the Mathematics syllabus. (Paper 1 section) Includes notes from the...
( or = excluded
[ or = included
Infinity always excluded
m, a, q, c, k = parameters
, Type 1: Straight line
y = m(x + p) + c
m
= gradient (constant)
If m is undefined it is a vertical line
If m > 0 then /
If m < 0 then \
If m is zero it is a horizontal line
p
= horizontal shift
If p is positive, shift left
If p is negative, shift right
c
= y intercept or vertical shift
Determines if the graph has been vertically shifted
Domain
xεR
Range
y εR
X intercept = times bracket out, make y = 0and solve
Y intercept = times racket out, make x = 0 and solve
Finding equation
Need m and a point
Sub into y - y1 = m(x -x1)
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