Find the direction the parabola opens, the coordinates of the vertex, the equation of the axis of symmetry and draw the graph.x = (y + 2)2 - 1

A.
 
opens right; vertex (2, 1);
axis of symmetry y = 1
B.
 
opens right; vertex (-12);
axis of symmetry y = 2
C.

opens right; vertex (-2-1);
axis of symmetry y = -1
D.
 
opens right; vertex (-1-2);
axis of symmetry y = -2


Answer: D

Mathematics

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Determine the slope and the y-intercept. Then graph the equation.4x - 5y = 27

A. m = - ; y-intercept: 

B. m = - ; y-intercept: 

C. m = ; y-intercept: 

D. m = ; y-intercept: 

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Find all possible functions with the given derivative.y' = x3 - 5x

A.  -  + C
B.  + 5x2 + C
C. 3x2 - 5 + C
D.  -  + C

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Locate relative maximum and relative minimum points on the graph. State whether each relative extremum point is a turning point.

A. (-2, 4) is a relative maximum. (-4, 1) and (1, -1) are relative minima points. B. (-2, 4) is a relative maximum point and a turning point. (-4, 1) and (1, -1) are relative minima points and turning points. C. (-2, 4) is a relative maximum point and a turning point. (1, -1) is a relative minimum point and a turning point. D. (-2, 4) is a relative maximum and a turning point. (-4, 1) is a relative minimum point and a turning point.

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Decide whether the equation is conditional, an identity, or a contradiction. Give the solution set.2(25t + 20) = 10(3t + 10)

A. Conditional; {3} B. Identity; {all real numbers} C. Conditional; {-7} D. Contradiction; ?

Mathematics