Packet On Using Graphing Calculators To Discover The Vertex Form
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4Algebra I
Exploring Vertex Form
Name:
Date:
Hour:
__________________________
2
1)
On your graphing calculator graph the function f(x) = x
.
a. Identify the vertex.
a)
b. Identify the line of symmetry.
b)
c. Does the graph open up or down?
c)
2
2)
On your graphing calculator graph the function f(x) = (x – 3)
+ 4
a. Identify the vertex.
a)
b. Identify the line of symmetry.
b)
c. Does the graph open up or down?
c)
2
d. Did the graph move left or right when compared to f(x) = x
? How far?
d)
2
e. Did the graph move up or down when compared to f(x) = x
? How far?
e)
2
f. Is the graph wider, skinnier or the same width as f(x) = x
?
f) ______________________
2
3)
On your graphing calculator graph the function f(x) = -(x + 2)
+ 6
a. Identify the vertex.
a)
b. Identify the line of symmetry.
b)
c. Does the graph open up or down?
c)
2
d. Did the graph move left or right when compared to f(x) = x
? How far?
d)
2
e. Did the graph move up or down when compared to f(x) = x
? How far?
e)
2
f. Is the graph wider, skinnier or the same width as f(x) = x
?
f) ______________________
Adapted from Holt High School Mathematics Department
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