Graphic Quadratics In Vertex Form Worksheet
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2G
F
V
F
RAPHING
ROM
ERTEX
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Let’s practice graphing quadratics in “vertex form” by using what we know about transformations.
1.
Consider the two functions graphed to the right.
a. Using words, describe the transformations needed to
get the graph of g(x) from the graph of f(x).
b. Which one of the following rules describes g(x)?
2
(Hint: g(x) is a transformation of
f x
( )
x
.)
2
g x
( ) (
x
4)
5
2
g x
( ) (
x
4)
5
2
g x
( ) (
x
4)
5
2
g x
( ) (
x
4)
5
Explain your reasoning.
is called “vertex form”?
2
2. Why do you suppose writing a quadratic like
g x
( ) (
x
4)
5
.
2
3. Consider the function
h x
( ) (
x
3)
4
2
a. Describe how the graph of
f x
( )
x
can be
transformed to arrive at the graph h(x).
b. On the grid to the right, plot a graph of h(x) by
transforming f(x).
(Be sure to include the transformation of the five
indicated points shown.)
c. Which two of the following do you think is
equivalent to h(x)?
y
(
x
1)(
x
5)
y
(
x
1)(
x
5)
2
y x
6
x
5
2
y x
6
x
5
Explain your reasoning.
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