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Summary Functions, Straight Line, Parabola and Hyperbola - Mathematics Grade 12 (IEB)

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Covers the various sections relating to Functions - Straight Line, Parabola and Hyperbola - within the Mathematics syllabus. (Paper 1 section) Includes notes from the textbook, as well as additional class, video and research information, diagrams and practice questions. Applicable to all IEB Grade 12s. Written by a 95% student.

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Uploaded on
February 23, 2021
Number of pages
9
Written in
2020/2021
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Summary

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Functions

Domain = x
Range = y


( 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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