In Exercises 3-12, describe the transformation of f(x) = x² represented by g. Then graph each function. (See Example 1.) %3D 3. g(x) = x2 – 3 4. g(x) = x2 + 1 %3D 5. g(x) = (x + 2)2 6. g(x) = (x – 4)² eileb %3D - mod noo 7. g(x) = (x – 1)² 8. g(x) = (x + 3)2 %3D %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Please do #5 and #7
Vocabulary and Core Concept Check
1. COMPLETE THE SENTENCE The graph of a quadratic func
2. VOCABULARY Identify the vertex of the parabola given b-
Monitoring Progress and Modeling with M
In Exercises 3-12, describe the transformation of
f(x) = x² represented by g. Then graph each function.
(See Example 1.)
3. g(x) = x2 - 3
4. g(x) = x2 + 1
5. g(x) = (x + 2)2
6. g(x) = (x – 4)2 enileboM
7. g(x) = (x – 1)2
8. g(x) = (x + 3)2
9. g(x) = (x + 6)² – 2
10. g(x) = (x – 9)² + 5
11. g(x) = (x – 7)2 + 1
12. g(x) = (x + 10)² – 3
NON
a
ANALYZING RELATIONSHIPS
In Exercises 13-16, match the
function with the correct
AY
fi
transformation of the graph
of f. Explain your reasoning.
13. y = f(x – 1)
14
Transcribed Image Text:Vocabulary and Core Concept Check 1. COMPLETE THE SENTENCE The graph of a quadratic func 2. VOCABULARY Identify the vertex of the parabola given b- Monitoring Progress and Modeling with M In Exercises 3-12, describe the transformation of f(x) = x² represented by g. Then graph each function. (See Example 1.) 3. g(x) = x2 - 3 4. g(x) = x2 + 1 5. g(x) = (x + 2)2 6. g(x) = (x – 4)2 enileboM 7. g(x) = (x – 1)2 8. g(x) = (x + 3)2 9. g(x) = (x + 6)² – 2 10. g(x) = (x – 9)² + 5 11. g(x) = (x – 7)2 + 1 12. g(x) = (x + 10)² – 3 NON a ANALYZING RELATIONSHIPS In Exercises 13-16, match the function with the correct AY fi transformation of the graph of f. Explain your reasoning. 13. y = f(x – 1) 14
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