Algebra II
A
Name: _______
________________
_________
5.1 Worksheet
Given the quadratic
in
STANDARD FO
RM
,
c
bx
ax
y
2
: find the y-int
ercept, use the for
mula
a
b
x
2
to write
an equation for
the axis
of symmetry and find the v
ertex, determine w
hether the quadratic op
ens up or dow
n, circle
whether the quadratic
ha
s a minimum or m
aximum value, find the min/m
ax value.
Then gr
aph the parabola
!
1.
1
2
2
x
y
a=_____ b=__
___ c=_____
Y-intercept ____
______
Vertex ( ___
__, ______)
Equation for Ax
is of Symmetry: X = __
_______
Opens Up o
r Opens Down
Maximum or Minimum
Max/Min Value _
_________
2
.
1
2
2
x
x
y
a=_____ b=__
___ c=_____
Y-intercept ____
______
Vertex ( ___
__, ______)
Equation for Ax
is of Symmetry: X = __
_______
Opens Up o
r Opens Down
Maximum or Minimum
Max/Min Value _
_________
3.
1
4
1
2
x
y
a=_____ b=__
___ c=_____
Y-intercept ____
______
Vertex ( ___
__, ______)
Equation for Ax
is of Symmetry: X = __
_______
Opens Up o
r Opens Down
Maximum or Minimum
Max/
Min Value ____
______
4
.
1
4
2
1
2
x
x
y
a=_____ b=__
___ c=_____
Y-intercept ____
______
Vertex ( ___
__, ______)
Equation for Ax
is of Symmetry: X = __
_______
Opens Up o
r Opens Down
Maximum or Minimum
Max/Min Value _
_________
5.
5
12
3
2
x
x
y
a=_____ b=__
___ c=_____
Y-intercept ____
______
Vertex ( ___
__, ______)
Equation for Ax
is of Symmetry: X = __
_______
Opens Up o
r Opens Down
Maximum or Minimum
Max/Min Value _
_________
6.
13
8
2
x
x
y
a=_____ b=__
___ c=_____
Y-intercept ____
______
Vertex ( ___
__, ______)
Equation for Ax
is of Symmetry: X = __
_______
Opens Up o
r Opens Down
Maximum or Minimum
Max/Min Value _
_________
7.
2
2
2
x
x
y
a=_____ b=__
___ c=_____
Y-intercept ____
______
Vertex ( ___
__, ______)
Equation for Ax
is of Symmetry: X = __
_______
Opens Up o
r Opens Down
Maximum or Minimum
Max/Min Value _
_________
8
.
14
12
2
2
x
x
y
a=_____ b=__
___ c=_____
Y-intercept ____
______
Vertex ( ___
__, ______)
Equation for Ax
is of Symmetry: X = __
_______
Opens Up o
r Opens Down
Maximum or Minimum
Max/Min Value _
_________
Write the function in stan
dard form by finding
the product
.
9
.
2
5
2
x
x
y
10
.
4
1
2
x
x
y
11
.
1
4
2
2
x
y
12
.
6
3
2
x
y