Describe how the graph of the given function can be obtained by transforming the graph of the reciprocal function f(x) = 1/x.f(x) = 
A. Shift the graph of the reciprocal function left 4 units, reflect across the x-axis, stretch vertically by a factor of 21, and then shift 5 units up.
B. Shift the graph of the reciprocal function left 4 units, reflect across the x-axis, stretch vertically by a factor of 21, and then shift 5 units down.
C. Shift the graph of the reciprocal function left 4 units, reflect across the x-axis, and then shift 5 units up.
D. Shift the graph of the reciprocal function left 4 units, reflect across the y-axis, stretch vertically by a factor of 21, and then shift 5 units up.
Answer: A
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Find the vertex of the parabola associated with the quadratic equation.y = x2 + 2x - 3
A. (1, -4) B. (1, 4) C. (-1, -3) D. (-1, -4)
Find all the second order partial derivatives of the given function.f(x, y) = cos xy2
A. = - y2 sin xy2;
= 2[ sin (xy2)- 2y2 cos (xy2)] ;
=
= 2y [sin (xy2)-y2 cos (xy2)]
B. = y2 sin xy2;
= 2[2y2 cos (xy2) - sin (xy2)] ;
=
= 2y[y2 cos (xy2) - sin (xy2)]
C. = -y4 cos xy2;
= - 2x[2xy2 cos (xy2) + sin(xy2)];
=
= - 2y[xy2 cos (xy2) + sin(xy2)];
D. = - y2 sin xy2;
= 2y
;
=
= 2
Add or subtract. Simplify the answer. -
A.
B.
C. 18
D.
Find the indicated sum.4 - 12 + 36 - 108 + 324 - . . . + 4 ? (-3)10
A. 177,148 B. 177,155 C. 177,142 D. 177,146