mclean county unit district no. 5 - math 2 (l2-1) 8.g.3 … · 2015. 9. 27. · math 2 (l2-1) 8.g.3...
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Math 2 (L2-1) 8.G.3 Assessment Title: Flipin’, Slidin’, and Expandin’ Thangs
Unit 2: Quadratic Functions Representation Learning Targets:
Students will be able to connect transformations of geometric figures to algebraic transformations of functions.
Part I: For each graph below, determine what type of transformation each graph shows then tell the rule for each function.
1.
2.
TYPE:__________________________
RULE:__________________________
TYPE:__________________________
RULE:__________________________
3.
4.
TYPE:__________________________
RULE:__________________________
TYPE:__________________________
RULE:__________________________
Math 2 8.G.3 Assessment Title: Flipin’, Slidin’, and Expandin’ Thangs
Unit 2: Quadratic Functions Representation
5.
6.
TYPE:__________________________
RULE:__________________________
TYPE:__________________________
RULE:__________________________
7.
8.
TYPE:__________________________
RULE:__________________________
TYPE:__________________________
RULE:__________________________
Math 2 8.G.3 Assessment Title: Flipin’, Slidin’, and Expandin’ Thangs
Unit 2: Quadratic Functions Representation
9.
10.
TYPE:__________________________
RULE:__________________________
TYPE:__________________________
RULE:__________________________
Math 2 8.G.3 Assessment Title: Flipin’, Slidin’, and Expandin’ Thangs
Unit 2: Quadratic Functions Representation
Part II: In this part you are going to identify the transformation effecting the parent graph 𝒇(𝒙) = 𝒙𝟐.
Directions: For each problem, 𝒇(𝒙) = 𝒙𝟐 has been graphed for you. The task at hand is to identify the
transformations performed to produce each image. Example 1 has been completed for you.
1.
2.
Transformation: moves up three_________
𝑓(𝑥) = 𝑥2 + 3_________________
Transformation:_________________________
𝑓(𝑥) = __________________________
3.
4.
Transformation:_________________________
𝑓(𝑥) = __________________________
Transformation:_________________________
𝑓(𝑥) = __________________________
Notice that the
other function
has moved up 3
from 𝒇(𝒙) = 𝒙𝟐
so the answer
would be :
Math 2 8.G.3 Assessment Title: Flipin’, Slidin’, and Expandin’ Thangs
Unit 2: Quadratic Functions Representation 5.
6.
Transformation:_________________________
𝑓(𝑥) = __________________________
Transformation:_________________________
𝑓(𝑥) = __________________________
Part III: For this Part we are drawing connections between Parts I & II. Identify what transformation
(translation, reflection, or dilation) describes each generalized algebraic function. Assume k and n are
positive Real Numbers.
1. 𝒇(𝒙) + 𝒌
_________________________
2. 𝒇(𝒙 + 𝒌)
__________________________
3. 𝒌𝒇(𝒙)
_________________________
4. 𝒇(𝒙 + 𝒌) − 𝒏
__________________________
5. 𝒇(−𝒙)
_________________________
6. 𝒇(𝒌𝒙)
_________________________
7. 𝒇(𝟏
𝒌𝒙)
_________________________
8. −𝒇(𝒙)
_________________________
Math 2 8.G.3 Assessment Title: Flipin’, Slidin’, and Expandin’ Thangs
Unit 2: Quadratic Functions Representation ANSWER KEY
Part I: For each graph below, determine what type of transformation each graph shows then tell the rule for each function.
1.
2.
TYPE:__________________________
RULE:__________________________
TYPE:__________________________
RULE:__________________________
3.
4.
TYPE:__________________________
RULE:__________________________
TYPE:__________________________
RULE:__________________________
Math 2 8.G.3 Assessment Title: Flipin’, Slidin’, and Expandin’ Thangs
Unit 2: Quadratic Functions Representation
5.
6.
TYPE:__________________________
RULE:__________________________
TYPE:__________________________
RULE:__________________________
7.
8.
TYPE:__________________________
RULE:__________________________
TYPE:__________________________
RULE:__________________________
Math 2 8.G.3 Assessment Title: Flipin’, Slidin’, and Expandin’ Thangs
Unit 2: Quadratic Functions Representation
9.
10.
TYPE:__________________________
RULE:__________________________
TYPE:__________________________
RULE:__________________________
Math 2 8.G.3 Assessment Title: Flipin’, Slidin’, and Expandin’ Thangs
Unit 2: Quadratic Functions Representation
Part II: In this part you are going to identify the transformation effecting the parent graph 𝒇(𝒙) = 𝒙𝟐.
Directions: For each problem, 𝒇(𝒙) = 𝒙𝟐 has been graphed for you. The task at hand is to identify the
transformations performed to produce each image. Example 1 has been completed for you.
1.
2.
Transformation: translation up
three_________
𝑓(𝑥) = 𝑥2 + 3_________________
Transformation:_________________________
𝑓(𝑥) = __________________________
3.
4.
Transformation:_____________________
____
𝑓(𝑥) = __________________________
Transformation:_________________________
𝑓(𝑥) = __________________________
Notice that the
other function
has moved up 3
from 𝒇(𝒙) = 𝒙𝟐
so the answer
would be :
Math 2 8.G.3 Assessment Title: Flipin’, Slidin’, and Expandin’ Thangs
Unit 2: Quadratic Functions Representation 5.
6.
Transformation:_____________________
____
𝑓(𝑥) = __________________________
Transformation:_________________________
𝑓(𝑥) = __________________________
Part III: For this Part we are drawing connections between Parts I & II. Identify what transformation
(translation, reflection, or dilation) describes each generalized algebraic function. Assume k and n are
positive Real Numbers.
1. 𝒇(𝒙) + 𝒌
_________________________
2. 𝒇(𝒙 + 𝒌)
__________________________
3. 𝒌𝒇(𝒙)
_________________________
4. 𝒇(𝒙 + 𝒌) − 𝒏
__________________________
5. 𝒇(−𝒙)
_________________________
6. 𝒇(𝒌𝒙)
_________________________
7. 𝒇(𝟏
𝒌𝒙)
_________________________
8. −𝒇(𝒙)
_________________________
Math 2 8.G.3 Assessment Title: Flipin’, Slidin’, and Expandin’ Thangs
Unit 2: Quadratic Functions Representation