A document explaining functions (graphs) for all grade 9 students. There are notes on the topic; all the different questions they could ask you. There are worked examples as well as questions and a memo so you can practice by yourself.
•mWBᵈBogqGe functions •mWBᵈBogg%ao
9
In
grade we
only look at
straight line
graphs next year we
look for Linear
at more
types
but now
only graphs .
We need to remember 2 formulas :
Ya Y
]
-
,
Y mxtc
=
[
M =
x, -
× ,
¥am¥nef◦r general formula :
m is your
gradient
C where cuts
is the
graph your
y-axis
{wnww)
axis is which :
Y to the
is
sky
y -9×15
x-axis
, Gradient
changes :
positive gradient negative gradient
Horizontal
graphs
:
y =
eg
.
5
< >
y=5
°
< >
y
• :O
-2
>
<
y = -2
vertical
graphs
:
✗ =
✗= -
l x :O
ax 7
=
a a
7
-
,
r
v v
, How to find the formula :
i
42 -
Yi *
NB : the smaller the
gradient the
Mx + C M =
y
flatter
= the
graph ,
the
bigger
✗z -
x,
the
gradient the steeper the
graph
steps :
example 1 :
1 Choose
any 2 pts .
label them pt . I É pt 2
.
/
°
X, Y ,
" " " " [ " " " " " "
Xz 42
( -2 ; 1) -
→ pt . 2
2 Now lets find
◦
C- 2 ;
the
gradient
-
1)
yz -
Yi
M =
✗z -
Xi
(2)
n÷÷÷÷g:
C- 1) -
É÷÷÷÷÷
=
7
( -
2) -
( l )
I ;÷:÷ˢn
.
L
=
3
-
we
-
3
are
happy with a
positive
=
,
and label them cod y 't -
3 Now find ordinate
we have to C
by subbing in
any co -
.
lets use pt
§
.
Y = Mx + c m = , ( 1 ; 2)
SO ✗ =\
(2) =
(1) + c y=z
2 =
I + C
2 I
-
= C
C = I
i. 1×+1
y
=
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