Algebra and Trigonometry: Structure and Method, Book 2
Algebra and Trigonometry: Structure and Method, Book 2
2000th Edition
ISBN: 9780395977255
Author: MCDOUGAL LITTEL
Publisher: McDougal Littell
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Chapter 9.3, Problem 21WE
To determine

To calculate: The vertex, focus, directrix, and axis of symmetry.

Expert Solution & Answer
Check Mark

Answer to Problem 21WE

The required vertex, focus, directrix and axis of symmetry of the parabola are (2,1),(2,1),y=3 and (x=2) respectively.

Explanation of Solution

Given information: The equation of the parabola is x2+8y+4x4=0 .

Formula used: yk=14c(xh)2

Calculation: Rewrite the given equation in to standard form of equation,

  x2+8y+4x4=0x2+4x+4+8y4=4x2+4x+4+8y8=0(x+2)2+8y8=08y8=(x2)28(y8)=(x2)2y1=(18)(x(2))2

Now, compare y1=(18)(x(2))2 to equation yk=14c(xh)2 , we get,

  h=2k=1x=hx=214c=18c=84c=2

Now,

The vertex are (h,k)=(2,1)

The focus is (h,k+c)=(2,(12))=(2,1)

The directrix is y=kc

  =1(2)y=3

The symmetric axis is x=h=2

Now, graph the given parabola,

  Algebra and Trigonometry: Structure and Method, Book 2, Chapter 9.3, Problem 21WE

Chapter 9 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 9.1 - Prob. 11OECh. 9.1 - Prob. 12OECh. 9.1 - Prob. 13OECh. 9.1 - Prob. 14OECh. 9.1 - Prob. 15OECh. 9.1 - Prob. 1WECh. 9.1 - Prob. 2WECh. 9.1 - Prob. 3WECh. 9.1 - Prob. 4WECh. 9.1 - Prob. 5WECh. 9.1 - Prob. 6WECh. 9.1 - Prob. 7WECh. 9.1 - Prob. 8WECh. 9.1 - Prob. 9WECh. 9.1 - Prob. 10WECh. 9.1 - Prob. 11WECh. 9.1 - Prob. 12WECh. 9.1 - Prob. 13WECh. 9.1 - Prob. 14WECh. 9.1 - Prob. 15WECh. 9.1 - Prob. 16WECh. 9.1 - Prob. 17WECh. 9.1 - Prob. 18WECh. 9.1 - Prob. 19WECh. 9.1 - Prob. 20WECh. 9.1 - Prob. 21WECh. 9.1 - Prob. 22WECh. 9.1 - Prob. 23WECh. 9.1 - Prob. 24WECh. 9.1 - Prob. 25WECh. 9.1 - Prob. 26WECh. 9.1 - Prob. 27WECh. 9.1 - Prob. 28WECh. 9.1 - Prob. 29WECh. 9.1 - Prob. 30WECh. 9.1 - Prob. 31WECh. 9.1 - Prob. 32WECh. 9.1 - Prob. 1PCh. 9.1 - Prob. 2PCh. 9.1 - Prob. 3PCh. 9.1 - Prob. 4PCh. 9.1 - Prob. 5PCh. 9.1 - Prob. 6PCh. 9.1 - Prob. 7PCh. 9.1 - Prob. 8PCh. 9.1 - Prob. 9PCh. 9.1 - Prob. 10PCh. 9.1 - Prob. 11PCh. 9.1 - Prob. 12PCh. 9.1 - Prob. 13PCh. 9.1 - Prob. 14PCh. 9.1 - Prob. 1MRECh. 9.1 - 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Prob. 15WECh. 9.5 - Prob. 16WECh. 9.5 - Prob. 17WECh. 9.5 - Prob. 18WECh. 9.5 - Prob. 19WECh. 9.5 - Prob. 20WECh. 9.5 - Prob. 21WECh. 9.5 - Prob. 22WECh. 9.5 - Prob. 23WECh. 9.5 - Prob. 24WECh. 9.5 - Prob. 25WECh. 9.5 - Prob. 26WECh. 9.5 - Prob. 27WECh. 9.5 - Prob. 28WECh. 9.5 - Prob. 29WECh. 9.5 - Prob. 30WECh. 9.5 - Prob. 31WECh. 9.5 - Prob. 32WECh. 9.5 - Prob. 33WECh. 9.5 - Prob. 34WECh. 9.5 - Prob. 35WECh. 9.5 - Prob. 1MRECh. 9.5 - Prob. 2MRECh. 9.5 - Prob. 3MRECh. 9.5 - Prob. 4MRECh. 9.5 - Prob. 5MRECh. 9.5 - Prob. 6MRECh. 9.5 - Prob. 7MRECh. 9.5 - Prob. 8MRECh. 9.5 - Prob. 9MRECh. 9.5 - Prob. 10MRECh. 9.6 - Prob. 1OECh. 9.6 - Prob. 2OECh. 9.6 - Prob. 3OECh. 9.6 - Prob. 4OECh. 9.6 - Prob. 5OECh. 9.6 - Prob. 6OECh. 9.6 - Prob. 7OECh. 9.6 - Prob. 8OECh. 9.6 - Prob. 9OECh. 9.6 - Prob. 10OECh. 9.6 - Prob. 11OECh. 9.6 - Prob. 12OECh. 9.6 - Prob. 13OECh. 9.6 - Prob. 14OECh. 9.6 - Prob. 1WECh. 9.6 - Prob. 2WECh. 9.6 - Prob. 3WECh. 9.6 - Prob. 4WECh. 9.6 - Prob. 5WECh. 9.6 - Prob. 6WECh. 9.6 - Prob. 7WECh. 9.6 - Prob. 8WECh. 9.6 - Prob. 9WECh. 9.6 - Prob. 10WECh. 9.6 - Prob. 11WECh. 9.6 - Prob. 12WECh. 9.6 - Prob. 13WECh. 9.6 - Prob. 14WECh. 9.6 - Prob. 15WECh. 9.6 - Prob. 16WECh. 9.6 - Prob. 17WECh. 9.6 - Prob. 18WECh. 9.6 - Prob. 19WECh. 9.6 - Prob. 20WECh. 9.6 - Prob. 21WECh. 9.6 - Prob. 1STCh. 9.6 - Prob. 2STCh. 9.6 - Prob. 3STCh. 9.6 - Prob. 4STCh. 9.6 - Prob. 5STCh. 9.6 - Prob. 6STCh. 9.7 - Prob. 1OECh. 9.7 - Prob. 2OECh. 9.7 - Prob. 3OECh. 9.7 - Prob. 4OECh. 9.7 - Prob. 5OECh. 9.7 - Prob. 6OECh. 9.7 - Prob. 7OECh. 9.7 - Prob. 8OECh. 9.7 - Prob. 9OECh. 9.7 - Prob. 10OECh. 9.7 - Prob. 11OECh. 9.7 - Prob. 12OECh. 9.7 - Prob. 1WECh. 9.7 - Prob. 2WECh. 9.7 - Prob. 3WECh. 9.7 - Prob. 4WECh. 9.7 - Prob. 5WECh. 9.7 - Prob. 6WECh. 9.7 - Prob. 7WECh. 9.7 - Prob. 8WECh. 9.7 - Prob. 9WECh. 9.7 - Prob. 10WECh. 9.7 - Prob. 11WECh. 9.7 - Prob. 12WECh. 9.7 - Prob. 13WECh. 9.7 - Prob. 14WECh. 9.7 - Prob. 15WECh. 9.7 - Prob. 16WECh. 9.7 - Prob. 17WECh. 9.7 - Prob. 18WECh. 9.7 - Prob. 19WECh. 9.7 - Prob. 20WECh. 9.7 - Prob. 1MRECh. 9.7 - Prob. 2MRECh. 9.7 - Prob. 3MRECh. 9.7 - Prob. 4MRECh. 9.7 - Prob. 5MRECh. 9.7 - Prob. 6MRECh. 9.7 - Prob. 7MRECh. 9.8 - Prob. 1OECh. 9.8 - Prob. 2OECh. 9.8 - Prob. 3OECh. 9.8 - Prob. 1WECh. 9.8 - Prob. 2WECh. 9.8 - Prob. 3WECh. 9.8 - Prob. 4WECh. 9.8 - Prob. 5WECh. 9.8 - Prob. 6WECh. 9.8 - Prob. 7WECh. 9.8 - Prob. 8WECh. 9.8 - Prob. 9WECh. 9.8 - Prob. 10WECh. 9.8 - Prob. 11WECh. 9.8 - Prob. 12WECh. 9.8 - Prob. 13WECh. 9.8 - Prob. 14WECh. 9.8 - Prob. 15WECh. 9.8 - Prob. 16WECh. 9.8 - Prob. 17WECh. 9.8 - Prob. 18WECh. 9.8 - Prob. 19WECh. 9.8 - Prob. 20WECh. 9.8 - Prob. 21WECh. 9.8 - Prob. 22WECh. 9.8 - Prob. 23WECh. 9.8 - Prob. 24WECh. 9.8 - Prob. 25WECh. 9.8 - Prob. 26WECh. 9.8 - Prob. 1PCh. 9.8 - Prob. 2PCh. 9.8 - Prob. 3PCh. 9.8 - Prob. 4PCh. 9.8 - Prob. 5PCh. 9.8 - Prob. 6PCh. 9.8 - Prob. 7PCh. 9.8 - Prob. 8PCh. 9.8 - Prob. 9PCh. 9.8 - Prob. 10PCh. 9.8 - Prob. 11PCh. 9.8 - Prob. 12PCh. 9.8 - Prob. 13PCh. 9.8 - Prob. 14PCh. 9.9 - Prob. 1OECh. 9.9 - Prob. 2OECh. 9.9 - Prob. 3OECh. 9.9 - Prob. 4OECh. 9.9 - Prob. 5OECh. 9.9 - Prob. 6OECh. 9.9 - Prob. 7OECh. 9.9 - Prob. 8OECh. 9.9 - Prob. 9OECh. 9.9 - Prob. 10OECh. 9.9 - Prob. 11OECh. 9.9 - Prob. 12OECh. 9.9 - Prob. 1WECh. 9.9 - Prob. 2WECh. 9.9 - Prob. 3WECh. 9.9 - Prob. 4WECh. 9.9 - Prob. 5WECh. 9.9 - Prob. 6WECh. 9.9 - Prob. 7WECh. 9.9 - Prob. 8WECh. 9.9 - Prob. 9WECh. 9.9 - Prob. 10WECh. 9.9 - Prob. 11WECh. 9.9 - Prob. 12WECh. 9.9 - Prob. 13WECh. 9.9 - Prob. 14WECh. 9.9 - Prob. 15WECh. 9.9 - Prob. 16WECh. 9.9 - Prob. 17WECh. 9.9 - Prob. 18WECh. 9.9 - Prob. 19WECh. 9.9 - Prob. 20WECh. 9.9 - Prob. 21WECh. 9.9 - Prob. 22WECh. 9.9 - Prob. 23WECh. 9.9 - Prob. 24WECh. 9.9 - Prob. 25WECh. 9.9 - Prob. 1PCh. 9.9 - Prob. 2PCh. 9.9 - Prob. 3PCh. 9.9 - Prob. 4PCh. 9.9 - Prob. 5PCh. 9.9 - Prob. 6PCh. 9.9 - Prob. 7PCh. 9.9 - Prob. 8PCh. 9.9 - Prob. 9PCh. 9.9 - Prob. 10PCh. 9.9 - Prob. 11PCh. 9.9 - Prob. 12PCh. 9.9 - Prob. 1MRECh. 9.9 - Prob. 2MRECh. 9.9 - Prob. 3MRECh. 9.9 - Prob. 4MRECh. 9.9 - 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