Day 7
1. Opener
Simplify.
a)
(3x y + 2xy ) ! (4x y ! 6xy ) + (3x y ! xy ) !
b)
(!5w)(!2w ! 4 + w) !
2
2
2
2
2
2
2
c) Solve the linear system:
y = !x + 3
y = 3x ! 7
d) An average pencil can draw a straight line approximately how
long?
2. The Big (Grade) Ten
viii) Factoring polynomials
2
5
8
4
5
5
9
4
3
4
2. The Big (Grade) Ten
viii) Factoring polynomials
8
7
7
7
10
3
10
5
13
2
2. The Big (Grade) Ten
viii) Factoring polynomials
12
-2
12
0
2
-9
4
-4
-7
5
2. The Big (Grade) Ten
viii) Factoring polynomials
9
-7
-4
5
-2
5
-2
7
7
-4
2. The Big (Grade) Ten
viii) Factoring polynomials
13
-1
4
-3
8
9
-4
2
-10
2
2. The Big (Grade) Ten
viii) Factoring polynomials
-6
-3
-11
2
-6
5
-11
4
2. The Big (Grade) Ten
viii) Factoring polynomials
+
-7
-3
-4
12
x
= (m ! 3)(m ! 4)
2. The Big (Grade) Ten
viii) Factoring polynomials
a)
b)
c)
d)
p ! 2 p ! 35
2
2. The Big (Grade) Ten
ix) Graphing parabolas (standard/factored forms)
y=x
x
y
-2
4
-1
1
0
0
2
1
1
2
4
2. The Big (Grade) Ten
ix) Graphing parabolas (standard/factored forms)
2. The Big (Grade) Ten
ix) Graphing parabolas (standard/factored forms)
y = x +1
2
x
y
-2
5
-1
2
0
1
1
2
2
5
2. The Big (Grade) Ten
ix) Graphing parabolas (standard/factored forms)
2. The Big (Grade) Ten
ix) Graphing parabolas (standard/factored forms)
y=x +k
2
2. The Big (Grade) Ten
ix) Graphing parabolas (standard/factored forms)
1 2
y= x
2
2
y = 2x
2
y = −x
2
y = −2x + 1
2. The Big (Grade) Ten
ix) Graphing parabolas (standard/factored forms)
y = ax
2
2. The Big (Grade) Ten
ix) Graphing parabolas (standard/factored forms)
axis of
symmetry
x- and yintercept
vertex
vertex
The basketballs on opposite sides of the vertex are
always at the same height!
y
x
The vertex is ALWAYS right in the
middle of our zeros!
y
(a, b)
x
The x co-ordinate
of the vertex
always gives the
axis of
symmetry in
the form x = a