Solve the problem.The accompanying figure shows the graph of y = -x2 shifted to a new position. Write the equation for the new graph.
A. y = -x2 + 2
B. y = -(x + 2)2
C. y = -(x - 2)2
D. y = -x2 - 2
Answer: C
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Solve. The polynomial 8x3 + 24x2 - 320x represents the volume of a rectangular solid. Factor the polynomial.
A. 8x(x - 8)(x - 5) B. 8x(x + 8)(x + 5) C. 8x(x - 8)(x + 5) D. 8x(x + 8)(x - 5)
An important calculation in calculus is the evaluation of the expression , where h ? 0. Find
.f(x) = 9x + 6
A. -6 + 2h B. -9 C. 6 D. 9
Match the given equation with one of the graphs.9x2 - 25y2 = 225
A.
B.
C.
D.
Solve the problem.The columns of I3 = are e1 =
, e2 =
, e3 =
.Suppose that T is a linear transformation from ?3 into ?2 such that T( e1) =
, T( e2) =
style="vertical-align: -15.0px;" /> , and T( e3) = .Find a formula for the image of an arbitrary x =
in ?3.
A.
T =
B.
T =
C.
T =
D.
T =