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MBF 3C Name: M it {it
BLM 3.1.2 Date: T."'x 3x
Introducing. The Parabolal
The graph of a quadratic relation is called a parabola. The parabola has
some important features:
axis of symmet
interce t
ogtimal value ,
\f «
Ev
The Channel Tunnel that links England and France, is 51.5 km long with
37.5 km under the English Channel. Construction started on both sides of
the Channel. When the two crews met, the walls of the two tunnels were
only a few millimetres off. Trigonometry
Quadratic Relation My}
)1 : 8(X
{a quadratic relation of
the form y : a(x h)2 + k
- the coordinates ofthe > _
vertex are (h, k) . The equation )1 = a(x h)2 + k is the yard-{9:913 ofa quadratic relation.
Y »\ Example 1 Sketch Graphs ofy : a(x _ h)2
rd
. sine law
o the relationship
between the length
of the sides and their
opposite angles in any
triangle
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Some situations are modelled by non-right triangles. The Leaning Tower
of Pisa, for example, leans from its vertical and does not form a rig
MBF 3C Name: M f D
BLM 4.32 Date: <
Why Standard Form?
The information about a parabola given by standard form is not as useful as the
information given by vertex or factored form. So why do we use standard form?
1. Finding y-lntercepts
You can always nd
Vfl"51t ill 1 ~ y: 0 (x4st x K
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In this investigation you will graph different parabolas and compare them to what is
known as the Basic Parabola.
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