Transformations Of Quadratic Functions Worksheet
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8Transformations of
2.1
Quadratic Functions
Essential Question
Essential Question
C
OMMON
How do the constants a, h, and k affect the
C
ORE
graph of the quadratic function g(x) = a(x − h)
+ k?
2
Learning Standards
The parent function of the quadratic family is f(x) = x
HSF-IF.C.7c
2
. A transformation of the
HSF-BF.B.3
graph of the parent function is represented by the function g(x) = a(x − h)
+ k,
2
where a ≠ 0.
Identifying Graphs of Quadratic Functions
Work with a partner. Match each quadratic function with its graph. Explain your
reasoning. Then use a graphing calculator to verify that your answer is correct.
a. g(x) = −(x − 2)
b. g(x) = (x − 2)
+ 2
c. g(x) = −(x + 2)
− 2
2
2
2
d. g(x) = 0.5(x − 2)
− 2
e. g(x) = 2(x − 2)
f. g(x) = −(x + 2)
+ 2
2
2
2
A.
B.
4
4
−6
−6
6
6
−4
−4
C.
D.
4
4
−6
−6
6
6
−4
−4
E.
F.
4
4
−6
−6
6
6
LOOKING FOR
−4
−4
STRUCTURE
To be profi cient in math,
you need to look closely
Communicate Your Answer
Communicate Your Answer
to discern a pattern or
structure.
4
2.
How do the constants a, h, and k affect the graph of
the quadratic function g(x) = a(x − h)
+ k?
2
3.
Write the equation of the quadratic function whose
−6
6
graph is shown at the right. Explain your reasoning.
Then use a graphing calculator to verify that your
equation is correct.
−4
Section 2.1
Transformations of Quadratic Functions
47
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