Use a graphing calculator to find the vertex of the graph of the function.f(x) = x2 + 2x - 8

A. (1, -9)
B. (1, 9)
C. (-1, -9)
D. (-1, -8)


Answer: C

Mathematics

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Find both the parametric and the vector equation of the line.The line through (4, -1, 3) that is perpendicular to both u = (2, 0, -1) and the y-axis.

A. x = 4 - t, y = -1, z = 3 + 2t; r = (4, -1, 3) + t(-1, 0, 2) B. x = 2 - 4t, y = -t, z = -1 + 3t; r = (2, 0, -1) + t(-4, -1, 3) C. x = 4 - t, y = -t, z = 3 + 2t; r = (4, -1, 3) + t(-1, 0, 2) D. x = 4 - 2t, y = -1, z = 3 - t; r = (4, -1, 3) + t(-2, 0, -1)

Mathematics

Insert the correct sign of inequality (> or <) between the given numbers.? 2

A. ? < 2 B. ? > 2

Mathematics

Provide an appropriate response.Find the direction in which the function is increasing most rapidly at the point P0.f(x, y) = xey - ln(x), P0(3, 0)

A.  i
B.  i +  j
C.  i +  j
D.  i +  j

Mathematics

Provide an appropriate response.Write fourteen and seven hundred forty-seven thousandths using numbers.

A. 14,747 B. 14.747 C. 14.0747 D. 0.14747

Mathematics