Determine the vertex, focus, and directrix of the parabola and sketch its graph.x2 - 6x + 4y + 21 = 0
A. vertex: (3, -3)
focus: (2, -3)
directrix: x = 4
B. vertex: (3, -3)
focus: (4, -3)
directrix: x = 2
C. vertex: (3, -3)
focus: (3, -4)
directrix: y = -2
D. vertex: (3, 3)
focus: (3, 2)
directrix: y = 4
Answer: C
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A. , 1
B. , -1
C. , 0
D. , -1
Find the value or values of c that satisfy the equation = f'(c) in the conclusion of the Mean Value Theorem for the given function and interval.f(x) = x2 + 2x + 2, [-1, 2].
A. - ,
B.
C. 0,
D. -1, 2
If s denotes the length of the arc of a circle of radius r subtended by a central angle ?, find the missing quantity.r = feet, s = 16 feet, ? = ?
A. radians
B. 40 radians
C. 40°
D. °
Find the zeros of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. f(x) = -x2(x + 2)(x2 - 1)
A. x = 0, touches the x-axis and turns around; x = -2, crosses the x-axis; x = -1, crosses the x-axis; x = 1, crosses the x-axis B. x = 0, touches the x-axis and turns around; x = -2, crosses the x-axis; x = 1, touches the x-axis and turns around C. x = 0, touches the x-axis and turns around; x = 2, crosses the x-axis; x = -1, touches the x-axis and turns around; x = 1, touches the x-axis and turns around D. x = 0, crosses the x-axis; x = -2, crosses the x-axis; x = -1, crosses the x-axis; x = 1, crosses the x-axis