Answer the questionHow can the graph of f(x) = -  - 4 be obtained from the graph of y =  ?

A. By making a horizontal shift of 1 unit to the right and a vertical shift of 4 units up
B. By making a horizontal shift of 4 units to the left and a vertical shift of 1 unit down
C. By reflecting across the y-axis and making a horizontal shift of 4 units to the left
D. By reflecting across the x-axis and making a vertical shift of 4 units down


Answer: D

Mathematics

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D.

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Find the slowest growing and the fastest growing functions as y = 3x10y = exy = ex-4y = xex

A. Slowest: y = xex Fastest: y = ex B. Slowest: y = 3x10 Fastest: y = xex C. Slowest: y = 3x10 Fastest: y = ex and y = ex-4 grow at the same rate. D. Slowest: y = ex-4 Fastest: y = xex

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Graph the equation and its tangent.Graph y = x2 - 2x - 8 and the tangent to the curve at the point whose x-coordinate is -2.

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B.

C.

D.

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Find the exact value of the expression.cos 40° cos 20° - sin 40° sin 20°

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B.
C.
D.

Mathematics