MODELLING WITH QUADRATIC
FUNCTIONS
EQUATI
ON
GRAPH
AND
ITS
MEANI
NG
𝒚
= −𝟎. 𝟎𝟔(𝒙
− 𝟕. 𝟔)𝟐
+ 𝟑. 𝟒
The flight of
the
motorcyclist
can be
modelled by a
quadratic
function with
x = the
horizontal
distance
travelled and y
= vertical
distance
travelled from
a starting point.
Its graphical
model is an
upside down
parabola that
has been
translated 7.6
to the right,
and 3.4 up,
with a scale
factor of 0.06.
VERTE
X AND
ITS
MEANI
NG
YINTERCEP
T AND ITS
MEANING
X-INTERCEPTS
AND THEIR
MEANING
𝒙-𝐢𝐧𝐭𝐞𝐫𝐜𝐞𝐩𝐭𝐬 𝐚𝐫𝐞 (𝟎. 𝟎𝟕, 𝟎) and
𝒚-𝐢𝐧𝐭𝐞𝐫𝐜𝐞𝐩𝐭 𝐢𝐬 (𝟎, −𝟎. 𝟎𝟕)
𝑽
(𝟎, 𝟏𝟓. 𝟏𝟑)
= (𝟕. 𝟔, 𝟑. 𝟒)
The
maximum
height of the
motorcyclist is
3.4m.
This occurs
after she has
travelled 7.6m
horizontally.
This shows the
starting point of the
jump.
This shows that the width of the
jump was approx. 15m.
BIG IDEAS FROM THE GRAPH:
FINDING THE Y-
FINDING THE X-
FINDING THE
FINDING THE
INTERCEPT
INTERCEPTS
VERTEX
EQUATION
BIG IDEAS FROM THE TURNING POINT FORM OF THE EQUATION:
FINDING THE Y-
FINDING THE X-
FINDING THE
DRAWING THE
INTERCEPT
INTERCEPTS
VERTEX
GRAPH
FINDING THE
DRAWING THE
BIG IDEAS FROM A TABLE OF VALUES:
FINDING THE Y-
FINDING THE X-
INTERCEPT
INTERCEPTS
VERTEX
GRAPH