2. The diagram on the right shows the graph of y=x³-3x²-2x+2. (a) The above polynomial function can be written as y=(x+1)(ax²+bx+c), find the values of a, b and c. 60 4 2 -2 41 0 1 2 3 -2 -4 -6 -8 (b) A new function y= g(x) is obtained by applying the following transformations to y=x³-3x²-2x+2: (i) A translation to the right by 1 unit. (ii) A reflection over the x-axis. Determine the equation of g(x).
2. The diagram on the right shows the graph of y=x³-3x²-2x+2. (a) The above polynomial function can be written as y=(x+1)(ax²+bx+c), find the values of a, b and c. 60 4 2 -2 41 0 1 2 3 -2 -4 -6 -8 (b) A new function y= g(x) is obtained by applying the following transformations to y=x³-3x²-2x+2: (i) A translation to the right by 1 unit. (ii) A reflection over the x-axis. Determine the equation of g(x).
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:2.
The diagram on the right shows the graph of
y=x³-3x²-2x+2.
(a)
The above polynomial function can be written as
y=(x+1)(ax²+bx+c), find the values of a, b and c.
60
4
2
-2
41 0
1
2
3
-2
-4
-6
-8
(b)
A new function
y= g(x) is obtained by applying the following transformations to
y=x³-3x²-2x+2:
(i)
A translation to the right by 1 unit.
(ii)
A reflection over the x-axis.
Determine the equation of g(x).
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