Graphing Quadratic Functions In Standard Form (Math Worksheet)
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1
2Algebra
Name _______________________________________
CHAPTER 8A
QUADRATIC FUNCTIONS
Period ______ Date ____________________________
Graphing Quadratic Functions in Standard Form
DO ALL YOUR PROBLEMS ON A SEPARATE SHEET OF PAPER AND USE GRAPH PAPER FOR YOUR GRAPHS
1.
Determine whether the graph of each quadratic function “opens up or down.” Justify your answers.
2
2
a)
�� = 7��
− 3�� − 2
b)
�� = 7 − 5��
3
2
2
d)
�� = −3�� + ��
c)
�� = −
��
+ 9�� + 2
2
2.
Find the y-intercept of each of the quadratic functions from question #1. Justify your answers.
3.
Find the equation of the axis of symmetry of each quadratic function. Use this information to find the
vertex of the graph of the function. Show all your work.
2
2
a)
�� = −2��
+ 20�� + 1
b)
�� = −5��
+ 7
2
2
c)
�� = ��
+ 6�� − 2
d)
�� = ��
− 3�� + 4
SEE OTHER SIDE
Algebra
Name _______________________________________
CHAPTER 8A
QUADRATIC FUNCTIONS
Period ______ Date ____________________________
Graphing Quadratic Functions in Standard Form
DO ALL YOUR PROBLEMS ON A SEPARATE SHEET OF PAPER AND USE GRAPH PAPER FOR YOUR GRAPHS
1.
Determine whether the graph of each quadratic function “opens up or down.” Justify your answers.
2
2
a)
�� = 7��
− 3�� − 2
b)
�� = 7 − 5��
3
2
2
d)
�� = −3�� + ��
c)
�� = −
��
+ 9�� + 2
2
2.
Find the y-intercept of each of the quadratic functions from question #1. Justify your answers.
3.
Find the equation of the axis of symmetry of each quadratic function. Use this information to find the
vertex of the graph of the function. Show all your work.
2
2
a)
�� = −2��
+ 20�� + 1
b)
�� = −5��
+ 7
2
2
c)
�� = ��
+ 6�� − 2
d)
�� = ��
− 3�� + 4
SEE OTHER SIDE
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