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]
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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![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]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F086c7699-b6ff-4e37-ba45-6f32c74fd46f%2F5f0c9e74-0fa8-46b2-bb9e-c05330dabf0f%2Fpht8wk8_processed.jpeg&w=3840&q=75)
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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