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REASONING 7. Given the linear equations f(x)= 2x and g(x)= 2x-2 answer the following. (a) Show that the function f passes through the origin. (b) How has the function f been shifted to produce the function g? (c) Write the function g in factored form. (d) Based on (c), how has the function f been shifted to produce the function g? (e) How would f(x) need to be shifted to produce h(x)= 2(x+5)-7? Given that f must contain the point (0,0), what point must h(x) contain based on the shifting?

REASONING 7. Given the linear equations f(x)= 2x and g(x)= 2x-2 answer the following. (a) Show that the function f passes through the origin. (b) How has the function f been shifted to produce the function g? (c) Write the function g in factored form. (d) Based on (c), how has the function f been shifted to produce the function g? (e) How would f(x) need to be shifted to produce h(x)= 2(x+5)-7? Given that f must contain the point (0,0), what point must h(x) contain based on the shifting?

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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REASONING 7. Given the lincar cquations f(x)=2x and g(x)= 2x – 2 answer the following. (a) Show that the function f passes through the origin. (b) How has the function f been shifted to produce the function g? (c) Write the function g in factored form. (d) Based on (c), how has the function f been shifted to produce the function g? (c) How would f(x) need to be shifted to produce h(x)= 2(x+5)-7? Given that f must contain the point (0,0), what point must h(x) contain based on the shifting?
Transcribed Image Text:REASONING 7. Given the lincar cquations f(x)=2x and g(x)= 2x – 2 answer the following. (a) Show that the function f passes through the origin. (b) How has the function f been shifted to produce the function g? (c) Write the function g in factored form. (d) Based on (c), how has the function f been shifted to produce the function g? (c) How would f(x) need to be shifted to produce h(x)= 2(x+5)-7? Given that f must contain the point (0,0), what point must h(x) contain based on the shifting?
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