Algebra II A Name: ________________________________
5.1 Worksheet
Given the quadratic in STANDARD FORM,
cbxaxy
2
: find the y-intercept, use the formula
a
b
x
2
to write
an equation for the axis of symmetry and find the vertex, determine whether the quadratic opens up or down, circle
whether the quadratic has a minimum or maximum value, find the min/max value. Then graph the parabola!
1.
12
2
xy
a=_____ b=_____ c=_____
Y-intercept __________
Vertex ( _____, ______)
Equation for Axis of Symmetry: X = _________
Opens Up or Opens Down
Maximum or Minimum
Max/Min Value __________
2.
12
2
xxy
a=_____ b=_____ c=_____
Y-intercept __________
Vertex ( _____, ______)
Equation for Axis of Symmetry: X = _________
Opens Up or Opens Down
Maximum or Minimum
Max/Min Value __________
3.
1
4
1
2
xy
a=_____ b=_____ c=_____
Y-intercept __________
Vertex ( _____, ______)
Equation for Axis of Symmetry: X = _________
Opens Up or Opens Down
Maximum or Minimum
Max/Min Value __________
4.
14
2
1
2
xxy
a=_____ b=_____ c=_____
Y-intercept __________
Vertex ( _____, ______)
Equation for Axis of Symmetry: X = _________
Opens Up or Opens Down
Maximum or Minimum
Max/Min Value __________
5.
a=_____ b=_____ c=_____
Y-intercept __________
Vertex ( _____, ______)
Equation for Axis of Symmetry: X = _________
Opens Up or Opens Down
Maximum or Minimum
Max/Min Value __________
6.
138
2
xxy
a=_____ b=_____ c=_____
Y-intercept __________
Vertex ( _____, ______)
Equation for Axis of Symmetry: X = _________
Opens Up or Opens Down
Maximum or Minimum
Max/Min Value __________
7.
22
2
xxy
a=_____ b=_____ c=_____
Y-intercept __________
Vertex ( _____, ______)
Equation for Axis of Symmetry: X = _________
Opens Up or Opens Down
Maximum or Minimum
Max/Min Value __________
8.
14122
2
xxy
a=_____ b=_____ c=_____
Y-intercept __________
Vertex ( _____, ______)
Equation for Axis of Symmetry: X = _________
Opens Up or Opens Down
Maximum or Minimum
Max/Min Value __________
Write the function in standard form by finding the product.
9.
252 xxy
10.
412 xxy
11.
142
2
xy
12.
63
2
xy