y = 3x2 y = 2x2 − 3 y = −2x2 y = −x2 + 5 y = −3x2 + 5 1. Value of “a” 3


y = 3x 2 y = 2x 2 − 3 2
‐3
up
1.
Value
of
“a”
3
2.
Value
of
“c”
0
3.
Direction
of
up
Opening
4.
Curve
wider,
narrow
normal
or
narrow
5.
Does
it
have
a
min
max
or
min
point
6.
Coordinates
of
(0,
0)
the
vertex
7.
Equation
of
x = 0
axis
of
symmetry
y = 0
8.
Max
or
min
value
x ∈ or (−∞, ∞) 9.
Domain
of
the
function
y ≥ 0
10.
Range
of
the
function
X -2
-1 0 1 2
11.
Table
of
y
12 3
0 3 12
Values
X
12.
Sketch
of
function
(scale
.5)
y
y = −2x 2 ‐2
0
down
y = −x 2 + 5 ‐1
5
down
y = −3x 2 + 5 ‐3
5
down
narrow
narrow
normal
narrow
min
max
max
max
(0,
‐3)
(0,
0)
(0,
5)
(0,
5)
x = 0
x = 0
x = 0
x = 0
y = −3 y = 0
y = 5
y = 5
x ∈ or (−∞, ∞) x ∈ or (−∞, ∞) x ∈ or (−∞, ∞) x ∈ or (−∞, ∞) y ≥ −3 y ≤ 0
y ≤ 5
y ≤ 5
2
5
1
1
0
1
2
3
1
5
X
y
2
8
1
2
0
1
2
X
0
2
8
y
2
1
1
4
0
1
2
5
4
1
X
y
2
7
1
2
0
1
2
5
2
7