Write the vertex form of a parabola that satisfies the conditions given. Then write the equation in the formVertex (-1, 2) and a = 

A. y = (x + 1)2 - 2;
y = x2 + x + 
B. y = (x + 2)2 + 1;
y = x2 + x + 
C. y = (x + 2)2 - 1;
y = x2 + x + 
D. y = (x + 1)2 + 2;
y = x2 + x + 


Answer: D

Mathematics

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Write a pair of parametric equations that will produce the indicated graph.The portion of the circle x2 + y2 = 36 that lies in the second quadrant

A. x = 36 cos t, y = 36 sin t, for  < t < ?
B. x = 36 cos t, y = 36 sin t, for  < t < 2?
C. x = 36 sin t, y = 36 cos t, for  < t < ?
D. x = 36 sin t, y = 36 cos t, for ? < t < 

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Find all points where the function is discontinuous.

A. x = -2, x = 1 B. None C. x = -2 D. x = 1

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Solve the problem.Suppose that 4527 units of a new product were sold in the first year. Each year after that, sales of the product were half the previous year's sales. Let S be the total number of units sold in the year that is t years after the first year. Write an exponential model for S.

A. S = 4527(0.5)t B. S = (4527)0.5t C. S = 4527(2)t D. S = 4527(0.5t)

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Solve the problem.A projectile is fired upward from the ground with an initial velocity of 400 feet per second. Neglecting air resistance, the height of the projectile at any time t can be described by the polynomial function P(t) = -16t2 + 400t. Find the height of the projectile at t = 9 seconds.

A. 3456 ft B. 2404 ft C. 2304 ft D. 3600 ft

Mathematics