MBF3C – Quadratics II
Date: _________________________
Quadratic Relations:
Vertex to Standard Form
Review
y
mx
b
=
+
the equation of a straight line in slope
y-intercept form
Ax
By
C
+
+
=
0
the equation of a straight line in
Standard Equation form
Therefore
(
)
y
a x
h
k
=
−
+
2
is the
Vertex Form
of a Quadratic Equation
y
ax
bx
c
=
+
+
2
is the
Standard Form
of a Quadratic Equation
DISCOVERY
What do you notice about the two graphs?
Sketch the following equation:
(
)
y
x
=
−
+
2
2
1
Use a table of values to sketch
y
x
x
=
−
+
2
4
5
x
y
x
x
=
−
+
2
4
5
y
-1
y = (-1)
2
– 4(-1) + 5
10
0
y = (0)
2
– 4(0) + 5
5
1
y = (1)
2
– 4(1) + 5
2
2
y = (2)
2
– 4(2) + 5
1
3
y = (3)
2
– 4(3) + 5
2
4
y = (4)
2
– 4(4) + 5
5
The graphs are the same, therefore the equations are the same but written differently.

MBF3C – Quadratics II
Date: _________________________
Recall Expanding
1)
-3 (2x +3)
= -6x – 9
2)
(x – 2)
2
= (x – 2)(x – 2)
= x
2
– 2x – 2x + 4
= x
2
– 4x + 4
3)
-2 (x + 3)
2
= -2 (x + 3)(x + 3)
= -2 (x
2
+ 3x + 3x + 9)
= -2 (x
2
+ 6x + 9)
= -2x
2
-12x – 18
distribute
FOIL
collect
like terms
FOIL
collect like
terms
distribute
Write
the Quadratic Relation in Standard Form
1)
y = (x + 6)
2
y = (x + 6)(x + 6)

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- Standard form, Quadratic equation