Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 10.4, Problem 10MCQ
To determine

To find: The equation of the parabola modal of the bridge.

Expert Solution & Answer
Check Mark

Answer to Problem 10MCQ

The equation of the parabola modal of the bridge is y=2625x2 .

Explanation of Solution

Given information:

The givenfigure of the parabolabridge is,

  Algebra 2, Chapter 10.4, Problem 10MCQ

Concept used:

Write the standard form of the equation of the parabola,

  y=a(xh)2+k

The direction of opening,

  upward, a>0downward, a<0

The coordinate of the vertex is (h,k) , the coordinate of focus is (h,k+14a) , and the length of latus rectum is |1a| .

The equation of directrix is,

  y=k14a

The axis of symmetry is,

  x=h

The origin is at the lowest point of the cable that is the vertex is at (0,0) .

Write the standard form of the equation of the parabola,

  y=a(xh)2+k200=a(2500)2+0200=62500aa=2625

The equation of the parabola modal of the bridge is obtained as

  y=a(xh)2+ky=2625(x0)2+0y=2625x2

Thus, the equation of the parabola modal of the bridge is y=2625x2 .

Chapter 10 Solutions

Algebra 2

Ch. 10.1 - Prob. 7CYUCh. 10.1 - Prob. 8CYUCh. 10.1 - Prob. 9CYUCh. 10.1 - Prob. 10PPSCh. 10.1 - Prob. 11PPSCh. 10.1 - Prob. 12PPSCh. 10.1 - Prob. 13PPSCh. 10.1 - Prob. 14PPSCh. 10.1 - Prob. 15PPSCh. 10.1 - Prob. 16PPSCh. 10.1 - Prob. 17PPSCh. 10.1 - Prob. 18PPSCh. 10.1 - Prob. 19PPSCh. 10.1 - Prob. 20PPSCh. 10.1 - Prob. 21PPSCh. 10.1 - Prob. 22PPSCh. 10.1 - Prob. 23PPSCh. 10.1 - Prob. 24PPSCh. 10.1 - Prob. 25PPSCh. 10.1 - Prob. 26PPSCh. 10.1 - Prob. 27PPSCh. 10.1 - Prob. 28PPSCh. 10.1 - Prob. 29PPSCh. 10.1 - Prob. 30PPSCh. 10.1 - Prob. 31PPSCh. 10.1 - Prob. 32PPSCh. 10.1 - Prob. 33PPSCh. 10.1 - Prob. 34PPSCh. 10.1 - Prob. 35PPSCh. 10.1 - Prob. 36PPSCh. 10.1 - Prob. 37PPSCh. 10.1 - Prob. 38PPSCh. 10.1 - Prob. 39PPSCh. 10.1 - Prob. 40PPSCh. 10.1 - Prob. 41PPSCh. 10.1 - Prob. 42HPCh. 10.1 - Prob. 43HPCh. 10.1 - Prob. 44HPCh. 10.1 - Prob. 45HPCh. 10.1 - Prob. 46HPCh. 10.1 - Prob. 47STPCh. 10.1 - Prob. 48STPCh. 10.1 - Prob. 49STPCh. 10.1 - Prob. 50STPCh. 10.1 - Prob. 51SRCh. 10.1 - Prob. 52SRCh. 10.1 - 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