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BEGIN HERE: ITEM 1: Let f and g be nunctions such that g(x) = 3f(x - 2) +1, for r E R. The graph of g is obtained from the graph of f after the following transformations: a vertical stretch by a factor of k, followed by a translation by the vector (). (a) Write down the value of: (i) k; (ii) a; (iii) b. [3] Let h(z) = -29(x), for r €R. The point P(3, 4) on the graph of g is mapped to point Q on the graph of h. (b) Find the coordinates of Q. [3]

BEGIN HERE: ITEM 1: Let f and g be nunctions such that g(x) = 3f(x - 2) +1, for r E R. The graph of g is obtained from the graph of f after the following transformations: a vertical stretch by a factor of k, followed by a translation by the vector (). (a) Write down the value of: (i) k; (ii) a; (iii) b. [3] Let h(z) = -29(x), for r €R. The point P(3, 4) on the graph of g is mapped to point Q on the graph of h. (b) Find the coordinates of Q. [3]

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 51E
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BEGIN HERE: ITEM 1: Let f and g be nunctions such that g(r) = 3f(x- 2) +1, for a €R. The graph of g is obtained from the graph of f after the following transformations: a vertical stretch by a factor of k, followed by a translation by the vector (). (a) Write down the value of: (i) k; (ii) a; (iii) b. [3] Let h(x) = -29(r), for a E R. The point P(3, 4) on the graph of g is mapped to point Q on the graph of h. (b) Find the coordinates of Q. [3]
Transcribed Image Text:BEGIN HERE: ITEM 1: Let f and g be nunctions such that g(r) = 3f(x- 2) +1, for a €R. The graph of g is obtained from the graph of f after the following transformations: a vertical stretch by a factor of k, followed by a translation by the vector (). (a) Write down the value of: (i) k; (ii) a; (iii) b. [3] Let h(x) = -29(r), for a E R. The point P(3, 4) on the graph of g is mapped to point Q on the graph of h. (b) Find the coordinates of Q. [3]
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