Find an equation that shifts the graph of f by the indicated amounts.f(x) = x2 + 2x - 7; left 3 units, up 19 units
A. y = (x + 3)2 + 2(x - 3) + 12
B. y = (x - 3)2 + 2(x - 3) + 9
C. y = (x - 3)2 + 2(x + 3) + 13
D. y = (x + 3)2 + 2(x + 3) + 12
Answer: D
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The transformation that takes a point (a, b) to the point (-a,-b) is:
(a) A reflection about the line y = x. (b) A translation through the vector (-1,-1). (c) A similitude with scale factor 3. (d) A rotation of 90°.
Divide as indicated. Write the quotient in standard form.
A. -9i B. 9 C. 9i D. -9
Solve and check. Begin by using the addition or multiplication principles of equality to isolate the squared term. 2x2 = 49
A. ± 
B. ± 
C. ± 
D. ± 
A town is experiencing a growth pattern of 8% per year in its population P; that is dP / dt =0.08P, where P is the population of the town and t is the time, in years, from 2005.
(a) Given that the town’s population in 2005 was 400,
find the solution of the equation assuming 
= 400
and k = 0.08.
(b) What will the population be in 2015?
(c) What is the doubling time of the population?