Write the equation of the graph after the indicated transformation(s). The graph of y = x2 is shifted 5 units to the left and 4 units downward.
A. y = (x - 4)2 + 5
B. y = (x - 5)2 - 4
C. y = (x + 4)2 - 5
D. y = (x + 5)2 - 4
Answer: D
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Find the first three nonzero terms of the Maclaurin expansion of the given function.f(x) = sin2 x
A. x2 - x4 +
x6 - ...
B. x2 - 2x4 + x6 - ...
C. x2 + x4 +
x6 - ...
D. x2 + 8x4 + 32x6 - ...
Decide whether or not the ordered pair is a solution of the system.(-6, -6)3x + y = -122x + 3y = 6
A. No B. Yes
Solve the problem.You have 220 feet of fencing to enclose a rectangular region. What is the maximum area?
A. 3021 square feet B. 3025 square feet C. 12,100 square feet D. 48,400 square feet
Convert the radical expression to its rational exponent form and then simplify. Assume that all variables represent positive numbers.
A.
B. 31/4x1/4
C. 31/12x1/12
D. 31/3x1/3