The graph of which function has a different vertex from the graph of f(x) = 2x³ + 1? A. g(x) = x² + 4
B. g(x) = 3x² + 1
C. g(x) = x² + 1
D. g(x) = -2x² + 1​

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step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.

step-by-step explanation: