Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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Answer Q1, 2 & 3 showing clearly all steps

1. A translation of y=f(x) through 2 units parallel to the x-axis is represented by
A. y=f(x) + 2
B. y=f(x) – 2 C. y = f(x + 2) D. y = f(x - 2)
%3D
2. A translation of the graph of y = f(x) 2units parallel to the y-axis is the graph of:
A. y= f(x) + 2 B. y = f(x) - 2
C. y = f(x+2) D. y = f(x-2)
3. A reflection of the graph of y = x2 – x – 1 in the x-axis is the graph of
2
|
A. y = x- x - 2 B. y = x² - x – 3 C. y = x- x - 3 D. y = 3 – x – x
|
4. The reflection of the graph of y = x² + x - 3 in the y-axis is the graph of:
2
A. y =x+x - 4
B. y = x² – x- 3 C. y = x-x- 3 D. y = 3 – x –x²
5. y= 2 - x is a
A. translation of y = x – 2 through – 1 unit parallel to the x-axis
B. reflection of y=x - 2 in the y-axis
C. stretch with scale factor -1 parallel to y-axis
D. stretch with scale factor -1 parallel to x-axis
6. The graph of y = x-x + 5 is first reflected in the y-axis and then translated 3 units
parallel to the x-axis. The equation of the curve obtained is:
A. y = x + x + 8 B. y= -x+ 7x - 17 C. y = x+ 7x + 17
D. y= x- 5x + 11
%3D
%3D
2
7. If the graph of y = x is stretched parallel to the y-axis by scale factor 3 to obtain the
%3D
graph of y= g(x) the g(x) =
X2
A. 9x B. 3x C. x² + 3 D
8. Given that f(x) = f(x-1)2 and that the point (2, 1) on the curve y f(x) corresponds to the
point (a, b) on the graph of y D(2x) ihe values of a and b are:
A. a = 1, b = 2 B. a = 1, b=0 C. a 4, b = 9 D. a = 4, b 3
%3D
2
9. The transformation given to y = x2 to obtain
is a stretch with scale factor:
y :
A. ½ parallel to x-axis B. ½ parallel to y-axis
C. 2 parallel to x-axis D. 2 parallel to y-axis
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Transcribed Image Text:1. A translation of y=f(x) through 2 units parallel to the x-axis is represented by A. y=f(x) + 2 B. y=f(x) – 2 C. y = f(x + 2) D. y = f(x - 2) %3D 2. A translation of the graph of y = f(x) 2units parallel to the y-axis is the graph of: A. y= f(x) + 2 B. y = f(x) - 2 C. y = f(x+2) D. y = f(x-2) 3. A reflection of the graph of y = x2 – x – 1 in the x-axis is the graph of 2 | A. y = x- x - 2 B. y = x² - x – 3 C. y = x- x - 3 D. y = 3 – x – x | 4. The reflection of the graph of y = x² + x - 3 in the y-axis is the graph of: 2 A. y =x+x - 4 B. y = x² – x- 3 C. y = x-x- 3 D. y = 3 – x –x² 5. y= 2 - x is a A. translation of y = x – 2 through – 1 unit parallel to the x-axis B. reflection of y=x - 2 in the y-axis C. stretch with scale factor -1 parallel to y-axis D. stretch with scale factor -1 parallel to x-axis 6. The graph of y = x-x + 5 is first reflected in the y-axis and then translated 3 units parallel to the x-axis. The equation of the curve obtained is: A. y = x + x + 8 B. y= -x+ 7x - 17 C. y = x+ 7x + 17 D. y= x- 5x + 11 %3D %3D 2 7. If the graph of y = x is stretched parallel to the y-axis by scale factor 3 to obtain the %3D graph of y= g(x) the g(x) = X2 A. 9x B. 3x C. x² + 3 D 8. Given that f(x) = f(x-1)2 and that the point (2, 1) on the curve y f(x) corresponds to the point (a, b) on the graph of y D(2x) ihe values of a and b are: A. a = 1, b = 2 B. a = 1, b=0 C. a 4, b = 9 D. a = 4, b 3 %3D 2 9. The transformation given to y = x2 to obtain is a stretch with scale factor: y : A. ½ parallel to x-axis B. ½ parallel to y-axis C. 2 parallel to x-axis D. 2 parallel to y-axis
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