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 = x2 - 2
D. y = (x - 2)2


Answer: C

Mathematics

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Solve the problem.When an object is dropped to the ground from a height of h meters, the time it takes for the object to reach the ground is given by the equation t = , where t is measured in seconds. If an object falls 78.4 meters before it hits the ground, find the time it took for the object to fall.

A. 16 sec B. 5 sec C. 7 sec D. 4 sec

Mathematics

Use DeMorgan's laws or a truth table to determine whether the two statements are equivalent.~(p ? q), ~p ? q

A. Not equivalent B. Equivalent

Mathematics

Solve the system by using the inverse of the coefficient matrix. 5x + 4y = 86x - 3y = 33

A. {(3, -4)} B. {(-4, 3)} C. {(-3, 4)} D. {(4, -3)}

Mathematics

Find the requested composition of functions.Given f(x) =   and g(x) = , find (f ? g)(x).

A.
B.
C.
D.

Mathematics