Determine the vertex, focus, and directrix of the parabola and sketch its graph.y2 + 6y = 12x + 51
A. vertex: (-5, -3)
focus: (-8, -3)
directrix: x = -2
B. vertex: (-5, -3)
focus: (-2, -3)
directrix: x = -8
C. vertex: (-5, -3)
focus: (-5, 0)
directrix: y = -6
D. vertex: (-5, -3)
focus: (-5, -6)
directrix: y = 0
Answer: B
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Solve the problem.The accompanying figure shows the graph of y = -x2 shifted to a new position. Write the equation for the new graph.
A. y = -(x + 2)2 B. y = -x2 - 2 C. y = -(x - 2)2 D. y = -x2 + 2
Write the expression in the standard form a + bi.
A. 
+ 
i
B. 
- 
i
C. 
+ 
i
D. 
- 
i
Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the value of the indicated trigonometric function of the given angle. Rationalize the denominator if applicable.Find sin A when a = 9 and b = 2.
A. 
B. 
C. 
D. 
Express the number in scientific notation.76,000,000,000
A. 7.6 × 1010 B. 7.6 × 10-9 C. 7.6 × 109 D. 7.6 × 10-10