For Exercises 35–44, an equation of a parabola ( x − h ) 2 = 4 p ( y − k ) or ( y − k ) 2 = 4 p ( x − h ) is given. a. Identify the vertex, value of p , focus, and focal diameter of the parabola. b. Identify the endpoints of the latus rectum. c. Graph the parabola. d. Write equations for the directrix and axis of symmetry. (See Example 4) ( x + 3 ) 2 = 2 ( y − 3 2 )
For Exercises 35–44, an equation of a parabola ( x − h ) 2 = 4 p ( y − k ) or ( y − k ) 2 = 4 p ( x − h ) is given. a. Identify the vertex, value of p , focus, and focal diameter of the parabola. b. Identify the endpoints of the latus rectum. c. Graph the parabola. d. Write equations for the directrix and axis of symmetry. (See Example 4) ( x + 3 ) 2 = 2 ( y − 3 2 )
Solution Summary: The author calculates the vertex, value of p, focus and focal diameter of the parabola.
Answer the number questions with the following answers
+/- 2 sqrt(2)
+/- i sqrt(6)
(-3 +/-3 i sqrt(3))/4
+/-1
+/- sqrt(6)
+/- 2/3 sqrt(3)
4
-3 +/- 3 i sqrt(3)
1
Matching 10 points
Factor and Solve
1)x3-216 0, x = {6,[B]}
2) 16x3 = 54 x-[3/2,[D]]
3)x4x2-42 0 x= [ +/-isqrt(7), [F] }
4)x+3-13-9x x=[+/-1.[H]]
5)x38x2+16x=0, x = {0,[K}}
6) 2x6-10x-48x2-0 x-[0, [M], +/-isqrt(3))
7) 3x+2x²-8 x = {+/-i sqrt(2), {Q}}
8) 5x³-3x²+32x=2x+18 x = {3/5, [S]}
[B]
[D]
[F]
[H]
[K]
[M]
[Q]
+/-2 sqrt(2)
+/- i sqrt(6)
(-3+/-3 i sqrt(3))/4
+/- 1
+/-sqrt(6)
+/- 2/3 sqrt(3)
4
-3 +/- 3 i sqrt(3)
[S]
The only problems I need help with ae the last 8 ones, Thanks
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