The transformation that takes a point (a, b) to the point (a - 2, b + 1) is:

(a) A reflection about the line y + 1 = x - 2.
(b) A translation through the vector (-2, 1).
(c) A similitude with scale factor -2.
(d) A rotation of 90°
.


(b) A translation through the vector (-2, 1).

Mathematics

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For the given polar equation, write an equivalent rectangular equation. r2sin 2? = 42

A. y = 21x
B. y = 
C. y = 
D. y = 42x2

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Multiply. Write the answer in lowest terms. ? 

A.  
B.
C.  
D.  

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Find an equation for the line tangent to given curve at the given value of x.y = x - x2; x = 4

A. y = 7x + 16 B. y = 9x + 16 C. y = 9x - 16 D. y = -7x + 16

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Approximate the area under the curve over the specified interval by using the indicated number of subintervals (or rectangles) and evaluating the function at the right-hand endpoints of the subintervals. Compute the approximate area using up to four decimal places as needed.

?
 from  to   subintervals.
?

A. 9.25 square units
B. 17.5 square units
C. 0.5 square unit
D. 21 square units
E. 37 square units

Mathematics