Solve the problem.Find and simplify f(a + h) - f(a), given f(x) = x2 - 3.

A. ax + hx + -3a + -3h - a2 + 3
B. 2ah + h2 + -6
C. h + -6
D. 2ah + h2

Answer: D

Mathematics

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Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.x2 - 16y2 - 2x + 128y - 271 = 0

A. center at (4, 1)
transverse axis is parallel to x-axis
vertices at (0, 1) and (8, 1)
foci at (4 - , 1) and (4 + , 1)
asymptotes of y - 1 = - (x - 4) and y - 1 = (x - 4)
B. center at (1, 4)
transverse axis is parallel to x-axis
vertices at (0, 4) and (2, 4)
foci at (1 - , 4) and (1 + , 4)
asymptotes of y - 4 = - 4(x - 1) and y - 4 = 4(x - 1)
C. center at (1, 4)
transverse axis is parallel to x-axis
vertices at (-3, 4) and (5, 4)
foci at (1 - , 4) and (1 + , 4)
asymptotes of y - 4 = - (x - 1) and y - 4 = (x - 1)
D. center at (1, 4)
transverse axis is parallel to y-axis
vertices at (1, 0) and (1, 8)
foci at (1, 4 - ) and (1, 4 + )
asymptotes of y + 4 = - 4(x + 1) and y + 4 = 4(x + 1)

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Mathematics

Add or subtract. Then simplify. If a denominator has two or more factors (other than monomials), leave it in factored form. Express the answer using the denominator of the first fraction when applicable. +