3.1 Part 1 Transformations of Quadratic Functions
Chapter 3: Quadratic Functions
3.1a Transformations of Quadratic Functions
Investigation:
Graph y = x2 by using a table of values
x
y
-3
-2
-1
0
1
2
3
In general, a quadratic function is of the form y = ax
2.3 Part 2 Properties of Triangles
Warm-up:
Find angle A
2.3b Properties of Triangles
Determine the height of each of the following SSA (not a contained angle) triangles.
In general, the height of a triangle can be determined by using SOH CAH TOA
h = bsin
2.3 Part 3 Ambiguous Case continued
Warm-Up: Determine the number of triangles that exists.
Note: Gven a SSA triangle, two triangles exists if h < a < b . This is called the ambiguous case.
Ex. In
ABC , A = 26 and b = 120 cm.
Draw a diagram of the three
3.1a solutions
a)
(0,0) up
narrow
b)
(0,0) up
wide
c)
(0,0) down
narrow
d)
(0,0) down
wide
a)
(0,1)
up
no change
b)
(2,0)
up
no change
c)
(0,-4) up
no change
d)
(-3,0) up
no change
a)
(-5,11)
up
no change
b)
(0,-10)
down
narrow
c)
(-20,-21) up
narrow
d)
(