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Use the graph of f to describe the transformation that yields the graph of g. fx) -13%, g(x) = 13-x - 3 Step 1 Rewrite the function g in terms of function f. g(x) = f-x-3 3 Step 2 Recall that if f(x) = a*: the graph of g(x) = a¯X = f(-x), where b > 0, is obtained by reflecting the graph of f in the y-axis; the graph of g(x) = -a = -f(x), where b > 0, is obtained by reflecting the graph of f in the x-axis; the graph of g(x) = a + b = f(x) + b, where b > 0, is obtained by shifting the graph of fb units upward; the graph of g(x) = ax -b = f(x – b), where b > 0, is obtained by shifting the graph of fb units to the right. Determine the transformations for g(x) = f( -x - 3) = r(-(| The graph of g can be obtained by reflecting the graph of f in the: --Select---Ethen shifting units ---Select--

Use the graph of f to describe the transformation that yields the graph of g. fx) -13%, g(x) = 13-x - 3 Step 1 Rewrite the function g in terms of function f. g(x) = f-x-3 3 Step 2 Recall that if f(x) = a*: the graph of g(x) = a¯X = f(-x), where b > 0, is obtained by reflecting the graph of f in the y-axis; the graph of g(x) = -a = -f(x), where b > 0, is obtained by reflecting the graph of f in the x-axis; the graph of g(x) = a + b = f(x) + b, where b > 0, is obtained by shifting the graph of fb units upward; the graph of g(x) = ax -b = f(x – b), where b > 0, is obtained by shifting the graph of fb units to the right. Determine the transformations for g(x) = f( -x - 3) = r(-(| The graph of g can be obtained by reflecting the graph of f in the: --Select---Ethen shifting units ---Select--

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter7: Exponents And Exponential Functions
Section7.6: Transformations Of Exponential Functions
Problem 63PPS
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Tutorial Exercise Use the graph of f to describe the transformation that yields the graph of g. f(x) 13%, g(x) = 13-x- 3 Step 1 Rewrite the function g in terms of function f. g(x) = f-x-3 -T - 3 Step 2 Recall that if f(x) = a*: the graph of g(x) = a¯X = f(-x), where b > 0, is obtained by reflecting the graph of f in the y-axis; the graph of g(x) = -a* = -f(x), where b > 0, is obtained by reflecting the graph of f in the x-axis; the graph of g(x) = a + b = f(x) + b, where b > 0, is obtained by shifting the graph of fb units upward; the graph of g(x) = a -b = f(x – b), where b > 0, is obtained by shifting the graph of f b units to the right. Determine the transformations for g(x) = The graph of g can be obtained by reflecting the graph of f in the: ---Select---Ethen shifting units ---Select- Submit Skip (you cannot come back)
Transcribed Image Text:Tutorial Exercise Use the graph of f to describe the transformation that yields the graph of g. f(x) 13%, g(x) = 13-x- 3 Step 1 Rewrite the function g in terms of function f. g(x) = f-x-3 -T - 3 Step 2 Recall that if f(x) = a*: the graph of g(x) = a¯X = f(-x), where b > 0, is obtained by reflecting the graph of f in the y-axis; the graph of g(x) = -a* = -f(x), where b > 0, is obtained by reflecting the graph of f in the x-axis; the graph of g(x) = a + b = f(x) + b, where b > 0, is obtained by shifting the graph of fb units upward; the graph of g(x) = a -b = f(x – b), where b > 0, is obtained by shifting the graph of f b units to the right. Determine the transformations for g(x) = The graph of g can be obtained by reflecting the graph of f in the: ---Select---Ethen shifting units ---Select- Submit Skip (you cannot come back)
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