Without graphing the function, state the shift(s) that are applied to the graph of
to graph the given function. If the graph of
must be rotated about the x-axis, state this.f(x) = x2 + 2
A. up 2 units
B. left 2 units
C. down 2 units
D. right 2 units
Answer: A
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Factor the sum or difference of two cubes.8x3 - y3
A. (2x + y)(4x2 - 2xy + y2) B. (2x - y)(4x2 + 2xy + y2) C. (2x - y)(4x2 + y2) D. (8x - y)(x2 + 2xy + y2)
Solve the problem.The costs of one-way flights between several U.S. cities are listed below:Using the Nearest Neighbor algorithm, estimate the minimum cost for a trip that starts in Des Moines, travels to all the other cities once, and then returns to Des Moines.
A. $1067 B. $811 C. $756 D. $715
Solve the problem.Suppose that P(x) represents the percentage of income spent on housing in year x and I(x) represents income in year x. Determine a function H that represents total housing expenditures in year x.
A. H(x) = (P ? I)(x)
B. H(x) = (x)
C. H(x) = (P + I)(x)
D. H(x) = (I - P)(x)
Find the product.11x5(12x7 + 5x2 - 11)
A. 132x12 + 55x7 B. 132x7 + 55x5 - 121 C. 132x12 + 5x5 - 11 D. 132x12 + 55x7 - 121x5