Write an equation for the graph given. The graph represents an logarithmic function f with base 2 or 3, translated and/or reflected.
A. log2(x - 8) - 1
B. log2(-x + 8) + 1
C. log2(x - 8) + 1
D. log2(-x + 8) - 1
Answer: D
Mathematics
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Find the length of the curve.The circle r = 6 sin ?
A. 3? B. 36? C. 12? D. 6?
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Plot the point in the rectangular coordinate system.
A. 
B. 
C. 
D. 
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Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.31x2 + 10
xy + 21y2 -144 = 0
A. ? = 45°
x'2 = -4
y'
parabola
vertex at (0, 0)
focus at (0, -
)
B. ? = 36.9°
+ 
= 1
ellipse
center at (0, 0)
major axis is x'-axis
vertices at (±3, 0)
C. ? = 45°
y'2 = -4
x'
parabola
vertex at (0, 0)
focus at (-
, 0)
D. ? = 30°
+ 
= 1
ellipse
center at (0, 0)
major axis is y'-axis
vertices at (0, ±3)
Mathematics