Start with the given graph of y. a) Describe a sequence of transformations that results in the graph of g(x); b) Find the range of g(x); c) Find the horizontal asymptote of the graph of g(x).y = 3x; g(x) = 32x - 1 - 8
A. a) The graph of y = 3x is compressed horizontally by a factor of 
, shifted 
unit to the left, and shifted eight units up.
b) (8, ?)
c) y = 8
B. a) The graph of y = 3x is compressed horizontally by a factor of 
, shifted 
unit to the right, and shifted eight units up.
b) (8, ?)
c) y = 8
C. a) The graph of y = 3x is compressed horizontally by a factor of 
, shifted 
unit to the left, and shifted eight units down.
b) (-8, ?)
c) y = -8
D. a) The graph of y = 3x is compressed horizontally by a factor of 
, shifted 
unit to the right, and shifted eight units down.
b) (-8, ?)
c) y = -8
Answer: D
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Find y in terms of x.
= 
+ 5, curve passes through (4, 3)
A. y = 
+ 5x + 25
B. y = 
+ 5x - 
C. y = 
+ 5x - 
D. y = 
+ 5x - 19
Find the degree of the polynomial.8x4 + 9x3 - 5x + 5x5 + 5
A. degree 3 B. degree 4 C. degree 8 D. degree 5
Use a calculator to graph the rational function in the window indicated. Use the graph to (a) give the x- and y-intercepts, (b) explain why there are no vertical asymptotes, (c) give the equation of the oblique asymptote, and (d) give the domain and range.f(x) = 
; [-6, 6] by [-10, 10]
A. (a) x-intercepts: (-4, 0), 
, (4, 0); y-intercept: 
;
(b) The denominator has no real zeros because the discriminant, -15, is negative.;
(c) y = 3x - 1;
(d) The domain and range are both (-?, ?).
B. (a) x-intercepts: (-4, 0), 
, (4, 0); y-intercept: 
;
(b) The denominator has no real zeros because the discriminant, -17, is negative.;
(c) y = 3x - 1;
(d) The domain and range are both [0, ?).
C. (a) x-intercepts: (-2, 0), 
, (2, 0); y-intercept: 
;
(b) The denominator has no real zeros because the discriminant, -17, is negative.;
(c) y = 3x + 7;
(d) The domain and range are both (-?, ?).
D. (a) x-intercepts: (-2, 0), 
, 
; y-intercept: 
;
(b) The denominator has no real zeros because the discriminant, -15, is negative.;
(c) y = 3x + 1;
(d) The domain and range are both [0, ?).
Solve the problem.If sin ? = -0.3, find the value of sin ? + sin (? + 2?) + sin (? + 4?).
A. -0.9 B. -0.9 + 6? C. -0.3 D. 1.1