Provide an appropriate response.Explain why the vertex of a parabola must lie on its axis.
What will be an ideal response?
Explanations will vary. One possibility: The vertex of a parabola must lie on its axis because, by definition, the axis is a line that intersects the vertex, dividing the parabola into two equal parts. For the parabola defined by the following function:
the vertex is at (h, k) and the vertical line x = h is the axis of the parabola. This vertical line includes all ordered pairs (h, y) and thus clearly includes (h, k).
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Solve.The orbit of a comet is an ellipse with eccentricity e = 0.113 with the sun at a focus. If its minimum distance to the sun is 0.21 AU, what is its maximum distance from the sun?
A. 0.47 AU B. 0.23 AU C. 0.26 AU D. 0.24 AU
Identify the specified numbers.The real numbers in the following list:7, 
, -13, 0, 
, 
A. 7, -13, 0, 
, 
B. 7, -13, 0, 
C. 7, 
, -13, 0, 
, 
D. 7, -13, 0, 
Solve the problem.The new city park is a rectangle 51
yards by 42 yards. What is the area of the park in square yards?
A. 45
square yards
B. 2069
square yards
C. 3 square yards
D. 2163 square yards
Find zw or 
as specified. Leave your answer in polar form.z = 1 + iw = 
- iFind zw.
A. 2
(cos 15° + i sin 15°)
B. 2
(cos 345° + i sin 345°)
C. 
(cos 15° + i sin 15°)
D. 2
(cos 75° + i sin 75°)