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f(x) N f(2x) f(x − 4) -f(2x) f(x) – 2 3. f(x)

f(x) N f(2x) f(x − 4) -f(2x) f(x) – 2 3. f(x)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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= Ms. Castillo Period 4 f(x) BAHA HOP H ==== f(2x) H HIHI f(x-4) 2. -f(2x) Use your knowledge of transformations to answer the following questions. 4. Mrs. Selcer transforms f(x) = x² to create g(x) = 6x². John claims the graph of g(x) will be narrower than f(x). Jane claims the graph will be a vertical stretch. Which student is correct? Explain your reasoning. a. -3 1 b. 5 2 c. 4 f(x) - 2 d. 3. 3 510 5. The graph of f(x) = x² was transformed to create p(x) = f(nx). Which of the following is a possible value for n? t 1 4 -6 14 A. The graph of h will be reflected over the x axis. B. The graph of h will be shifted left c units. C. The vertex of h will be at (0, c). D. The graph of h will be narrower than the quadratic parent function. -f(x) NIA t THERE 10 6. The function h is of the form y = ax² + c. Circle the following statement(s) that must be true if a and c are both less than 0. E
Transcribed Image Text:= Ms. Castillo Period 4 f(x) BAHA HOP H ==== f(2x) H HIHI f(x-4) 2. -f(2x) Use your knowledge of transformations to answer the following questions. 4. Mrs. Selcer transforms f(x) = x² to create g(x) = 6x². John claims the graph of g(x) will be narrower than f(x). Jane claims the graph will be a vertical stretch. Which student is correct? Explain your reasoning. a. -3 1 b. 5 2 c. 4 f(x) - 2 d. 3. 3 510 5. The graph of f(x) = x² was transformed to create p(x) = f(nx). Which of the following is a possible value for n? t 1 4 -6 14 A. The graph of h will be reflected over the x axis. B. The graph of h will be shifted left c units. C. The vertex of h will be at (0, c). D. The graph of h will be narrower than the quadratic parent function. -f(x) NIA t THERE 10 6. The function h is of the form y = ax² + c. Circle the following statement(s) that must be true if a and c are both less than 0. E
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