From the graph of the parabola, determine whether the parabola opens upward or downward, and find the vertex, axis of symmetry, and range of the function. Find the maximum or minimum value of the function and the intervals on which the function is increasing or decreasing.

A. Up, (2, -9), x = -9, [-9, ?), min -9, dec (-?, 2], inc [2, ?)
B. Up, (2, -9), x = 2, [-9, ?), min -9, dec (-?, 2], inc [2, ?)
C. Up, (2, -9), x = 2, [-4, 8], min -4, dec (-?, 2], inc [2, ?)
D. Up, (2, -9), x = 2, [-9, ?), min -4, dec (-?, 2), inc (2, ?)


Answer: B

Mathematics

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Using a sum or difference identity, write the following as an expression involving functions of x.tan 

A. -tan x
B. tan x
C.
D.

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Find the distance d(P1, P2) between the points P1and P2.P1 = (4, 6); P2 = (-5, -4)

A. -1 
B.
C. 90 
D.

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Graph the function. Identify the vertex, x-intercepts, and the equation for the axis of symmetry.f(x) = x2 - 1

A.

vertex: (0, -1)
x-intercepts: none 
axis of symmetry: x = 0
B.

vertex: (-1, 0)
x-intercept: (-1, 0)
axis of symmetry: x = -1
C.

vertex: (0, -1)
x-intercepts: (-1, 0) and (1, 0)
axis of symmetry: x = 0
D.

vertex: (0, 1)
x-intercepts: none
axis of symmetry: x = 0

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Find an equation for the ellipse described.Focus at (-2, 0); vertices at (±8, 0)

A.  +  = 1
B.  +  = 1
C.  +  = 1
D.  +  = 1

Mathematics