Day 15 Transforming Quadratic Functions.notebook

Day 15 Transforming Quadratic Functions.notebook
May 03, 2017
Date: Block B, 5/3/17 or 5/4/17
Objective: I can graph and transform quadratic functions.
Entry: A function is defined by f(x) = x2. (i­iv) Match each equation below with the correct graph. i. y = f(x) + 3
ii. y = f(x­3)
iii. y = f(x) ­ 3
iv. y = f(x+3)
v. Describe the graph y = f(x+2) ­ 1 1
Day 15 Transforming Quadratic Functions.notebook
May 03, 2017
The Quadratic Parent Function
For the parent function f(x) = x2
• axis of symmetry: x = 0
• vertex: (0, 0)
• zeros: x = 0
x
y = x2
­3
­2
­1
0
1
2
3
9
4
1
0
1
4
9
2
Day 15 Transforming Quadratic Functions.notebook
May 03, 2017
Use your calculator to graph each function. Graph each in your notebook. 3
Day 15 Transforming Quadratic Functions.notebook
May 03, 2017
4
Day 15 Transforming Quadratic Functions.notebook
May 03, 2017
5
Day 15 Transforming Quadratic Functions.notebook
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6
Day 15 Transforming Quadratic Functions.notebook
May 03, 2017
Order the functions from narrowest graph to widest.
A
B
C
D
7
Day 15 Transforming Quadratic Functions.notebook
May 03, 2017
Compare the graph of each function with the graph of f (x) = x2
A
B
C
D
E
8
Day 15 Transforming Quadratic Functions.notebook
May 03, 2017
Ex. 3 Match each function to its graph.
i.
ii.
iii.
iv.
9
Day 15 Transforming Quadratic Functions.notebook
May 03, 2017
Ex. 4 Tell whether each statement is sometimes, always, or never true.
A.
B.
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Day 15 Transforming Quadratic Functions.notebook
May 03, 2017
Ex. 5 Write a function to describe each of the following.
A.
B.
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Day 15 Transforming Quadratic Functions.notebook
May 03, 2017
A.
Ex. 6 Write g(x) (dashed line) in terms of f(x) (solid line).
12
Day 15 Transforming Quadratic Functions.notebook
May 03, 2017
pg 637 (1­7 odd, 10­16, even, 20­28 even)
&
Day 15 Transformations and Graphing Quadratics WS 13
Day 15 Transforming Quadratic Functions.notebook
May 03, 2017
14