Glencoe Algebra 2 Student Edition C2014
Glencoe Algebra 2 Student Edition C2014
1st Edition
ISBN: 9780076639908
Author: McGraw-Hill Glencoe
Publisher: MCG
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Chapter 9, Problem 28SGR
To determine

To find: Theequation of the parabola that models the flight of the football.

Expert Solution & Answer
Check Mark

Answer to Problem 28SGR

The equation of parabola is y =125(x50)2+100 .

Explanation of Solution

Given information:

A football is thrown from ground level. It reaches a maximum height of 50 feet and hits the ground 200 feet from where it was thrown.

Calculation:

A football is thrown from ground level. It reaches a maximum height of 50 feet and hits the ground 200 feet from where it was thrown. The path of the football is a parabola such that the football was kicked at the origin.

The parabola is of the form y =a(xh)2 +k . The point of maximum height (A) will be the vertexof the parabola.

  Glencoe Algebra 2 Student Edition C2014, Chapter 9, Problem 28SGR

The horizontal distance from point O to point A will be half of the distance of OB. So,

  OC = 100 ft

Hence the co-ordinates of vertex A will be

  (h,k)=(50,100)

Substitute h= 50 and k =100 in the standard form y =a(xh)2 +k the equation of the parabolic path of the baseball will be,

  y =a(x50)2+100..........(1)

Parabola passes through point B. Co-ordinates of point Bare (0,200) Hence

  200=a(050)2+100 200 = 2500a + 1002500a=100

  a=125

Substitute a=125 in equation (1) y =a(x50)2+100 , the equation of the parabola that models the flight of the football will be

  y =125(x50)2+100

Therefore, the equation of parabola is y =125(x50)2+100 .

Chapter 9 Solutions

Glencoe Algebra 2 Student Edition C2014

Ch. 9.1 - Prob. 7CYUCh. 9.1 - Prob. 8CYUCh. 9.1 - Prob. 9CYUCh. 9.1 - Prob. 10PPSCh. 9.1 - Prob. 11PPSCh. 9.1 - Prob. 12PPSCh. 9.1 - Prob. 13PPSCh. 9.1 - Prob. 14PPSCh. 9.1 - Prob. 15PPSCh. 9.1 - Prob. 16PPSCh. 9.1 - Prob. 17PPSCh. 9.1 - Prob. 18PPSCh. 9.1 - Prob. 19PPSCh. 9.1 - Prob. 20PPSCh. 9.1 - Prob. 21PPSCh. 9.1 - Prob. 22PPSCh. 9.1 - Prob. 23PPSCh. 9.1 - Prob. 24PPSCh. 9.1 - Prob. 25PPSCh. 9.1 - Prob. 26PPSCh. 9.1 - Prob. 27PPSCh. 9.1 - Prob. 28PPSCh. 9.1 - Prob. 29PPSCh. 9.1 - Prob. 30PPSCh. 9.1 - Prob. 31PPSCh. 9.1 - Prob. 32PPSCh. 9.1 - Prob. 33PPSCh. 9.1 - Prob. 34PPSCh. 9.1 - Prob. 35PPSCh. 9.1 - Prob. 36PPSCh. 9.1 - Prob. 37PPSCh. 9.1 - Prob. 38PPSCh. 9.1 - Prob. 39PPSCh. 9.1 - Prob. 40PPSCh. 9.1 - Prob. 41PPSCh. 9.1 - Prob. 42HPCh. 9.1 - Prob. 43HPCh. 9.1 - Prob. 44HPCh. 9.1 - Prob. 45HPCh. 9.1 - Prob. 46HPCh. 9.1 - Prob. 47STPCh. 9.1 - Prob. 48STPCh. 9.1 - Prob. 49STPCh. 9.1 - Prob. 50STPCh. 9.1 - Prob. 51SRCh. 9.1 - Prob. 52SRCh. 9.1 - Prob. 53SRCh. 9.1 - Prob. 54SRCh. 9.1 - Prob. 55SRCh. 9.1 - Prob. 56SRCh. 9.1 - Prob. 57SRCh. 9.1 - Prob. 58SRCh. 9.1 - Prob. 59SRCh. 9.1 - Prob. 60SRCh. 9.1 - Prob. 61SRCh. 9.1 - Prob. 62SRCh. 9.1 - Prob. 63SRCh. 9.1 - Prob. 64SCh. 9.1 - Prob. 65SCh. 9.1 - Prob. 66SCh. 9.2 - Prob. 1GPCh. 9.2 - Prob. 2AGPCh. 9.2 - Prob. 2BGPCh. 9.2 - Prob. 3AGPCh. 9.2 - Prob. 3BGPCh. 9.2 - Prob. 4AGPCh. 9.2 - Prob. 4BGPCh. 9.2 - Prob. 5GPCh. 9.2 - Prob. 1CYUCh. 9.2 - Prob. 2CYUCh. 9.2 - Prob. 3CYUCh. 9.2 - Prob. 4CYUCh. 9.2 - Prob. 5CYUCh. 9.2 - Prob. 6CYUCh. 9.2 - Prob. 7CYUCh. 9.2 - Prob. 8CYUCh. 9.2 - Prob. 9CYUCh. 9.2 - Prob. 10CYUCh. 9.2 - Prob. 11CYUCh. 9.2 - Prob. 12CYUCh. 9.2 - Prob. 13CYUCh. 9.2 - Prob. 14PPSCh. 9.2 - Prob. 15PPSCh. 9.2 - Prob. 16PPSCh. 9.2 - Prob. 17PPSCh. 9.2 - Prob. 18PPSCh. 9.2 - Prob. 19PPSCh. 9.2 - Prob. 20PPSCh. 9.2 - Prob. 21PPSCh. 9.2 - Prob. 22PPSCh. 9.2 - Prob. 23PPSCh. 9.2 - Prob. 24PPSCh. 9.2 - Prob. 25PPSCh. 9.2 - Prob. 26PPSCh. 9.2 - Prob. 27PPSCh. 9.2 - Prob. 28PPSCh. 9.2 - Prob. 29PPSCh. 9.2 - Prob. 30PPSCh. 9.2 - Prob. 31PPSCh. 9.2 - Prob. 32PPSCh. 9.2 - Prob. 33PPSCh. 9.2 - Prob. 34PPSCh. 9.2 - Prob. 35PPSCh. 9.2 - Prob. 36PPSCh. 9.2 - Prob. 37HPCh. 9.2 - Prob. 38HPCh. 9.2 - Prob. 39HPCh. 9.2 - Prob. 40HPCh. 9.2 - Prob. 41STPCh. 9.2 - Prob. 42STPCh. 9.2 - Prob. 43STPCh. 9.2 - Prob. 44STPCh. 9.2 - Prob. 45SRCh. 9.2 - Prob. 46SRCh. 9.2 - Prob. 47SRCh. 9.2 - Prob. 48SRCh. 9.2 - Prob. 49SRCh. 9.2 - Prob. 50SRCh. 9.2 - Prob. 51SRCh. 9.2 - Prob. 52SRCh. 9.2 - Prob. 53SRCh. 9.2 - Prob. 54SRCh. 9.2 - Prob. 55SRCh. 9.2 - Prob. 56SRCh. 9.2 - Prob. 57SRCh. 9.2 - Prob. 58SCh. 9.2 - Prob. 59SCh. 9.2 - Prob. 60SCh. 9.2 - Prob. 61SCh. 9.3 - Prob. 1GPCh. 9.3 - Prob. 2AGPCh. 9.3 - Prob. 2BGPCh. 9.3 - Prob. 3GPCh. 9.3 - Prob. 4GPCh. 9.3 - Prob. 5GPCh. 9.3 - Prob. 1CYUCh. 9.3 - Prob. 2CYUCh. 9.3 - Prob. 3CYUCh. 9.3 - Prob. 4CYUCh. 9.3 - Prob. 5CYUCh. 9.3 - Prob. 6CYUCh. 9.3 - Prob. 7CYUCh. 9.3 - Prob. 8CYUCh. 9.3 - Prob. 9CYUCh. 9.3 - Prob. 10CYUCh. 9.3 - Prob. 11CYUCh. 9.3 - Prob. 12PPSCh. 9.3 - Prob. 13PPSCh. 9.3 - Prob. 14PPSCh. 9.3 - Prob. 15PPSCh. 9.3 - Prob. 16PPSCh. 9.3 - Prob. 17PPSCh. 9.3 - Prob. 18PPSCh. 9.3 - Prob. 19PPSCh. 9.3 - Prob. 20PPSCh. 9.3 - Prob. 21PPSCh. 9.3 - Prob. 22PPSCh. 9.3 - Prob. 23PPSCh. 9.3 - Prob. 24PPSCh. 9.3 - Prob. 25PPSCh. 9.3 - Prob. 26PPSCh. 9.3 - Prob. 27PPSCh. 9.3 - Prob. 28PPSCh. 9.3 - Prob. 29PPSCh. 9.3 - Prob. 30PPSCh. 9.3 - Prob. 31PPSCh. 9.3 - Prob. 32PPSCh. 9.3 - Prob. 33PPSCh. 9.3 - Prob. 34PPSCh. 9.3 - Prob. 35PPSCh. 9.3 - Prob. 36PPSCh. 9.3 - Prob. 37PPSCh. 9.3 - Prob. 38PPSCh. 9.3 - Prob. 39PPSCh. 9.3 - Prob. 40PPSCh. 9.3 - Prob. 41PPSCh. 9.3 - Prob. 42PPSCh. 9.3 - Prob. 43PPSCh. 9.3 - Prob. 44PPSCh. 9.3 - Prob. 45PPSCh. 9.3 - Prob. 46PPSCh. 9.3 - Prob. 47PPSCh. 9.3 - Prob. 48PPSCh. 9.3 - Prob. 49PPSCh. 9.3 - Prob. 50PPSCh. 9.3 - Prob. 51PPSCh. 9.3 - Prob. 52PPSCh. 9.3 - Prob. 53PPSCh. 9.3 - Prob. 54PPSCh. 9.3 - Prob. 55PPSCh. 9.3 - Prob. 56PPSCh. 9.3 - Prob. 57PPSCh. 9.3 - Prob. 58PPSCh. 9.3 - Prob. 59PPSCh. 9.3 - Prob. 60PPSCh. 9.3 - Prob. 61PPSCh. 9.3 - Prob. 62HPCh. 9.3 - Prob. 63HPCh. 9.3 - Prob. 64HPCh. 9.3 - Prob. 65HPCh. 9.3 - Prob. 66HPCh. 9.3 - Prob. 67HPCh. 9.3 - Prob. 68STPCh. 9.3 - Prob. 69STPCh. 9.3 - Prob. 70STPCh. 9.3 - Prob. 71STPCh. 9.3 - Prob. 72SRCh. 9.3 - Prob. 73SRCh. 9.3 - Prob. 74SRCh. 9.3 - Prob. 75SRCh. 9.3 - Prob. 76SRCh. 9.3 - Prob. 77SRCh. 9.3 - Prob. 78SRCh. 9.3 - Prob. 79SRCh. 9.3 - Prob. 80SRCh. 9.3 - Prob. 81SRCh. 9.3 - Prob. 82SRCh. 9.3 - Prob. 83SRCh. 9.3 - Prob. 84SRCh. 9.3 - Prob. 85SRCh. 9.3 - Prob. 86SCh. 9.3 - Prob. 87SCh. 9.3 - Prob. 88SCh. 9.4 - Prob. 1GPCh. 9.4 - Prob. 2GPCh. 9.4 - Prob. 3GPCh. 9.4 - Prob. 4GPCh. 9.4 - Prob. 1CYUCh. 9.4 - Prob. 2CYUCh. 9.4 - Prob. 3CYUCh. 9.4 - Prob. 4CYUCh. 9.4 - Prob. 5CYUCh. 9.4 - Prob. 6CYUCh. 9.4 - Prob. 7CYUCh. 9.4 - Prob. 8CYUCh. 9.4 - Prob. 9CYUCh. 9.4 - Prob. 10CYUCh. 9.4 - Prob. 11PPSCh. 9.4 - Prob. 12PPSCh. 9.4 - Prob. 13PPSCh. 9.4 - Prob. 14PPSCh. 9.4 - Prob. 15PPSCh. 9.4 - Prob. 16PPSCh. 9.4 - Prob. 17PPSCh. 9.4 - Prob. 18PPSCh. 9.4 - Prob. 19PPSCh. 9.4 - Prob. 20PPSCh. 9.4 - Prob. 21PPSCh. 9.4 - Prob. 22PPSCh. 9.4 - Prob. 23PPSCh. 9.4 - Prob. 24PPSCh. 9.4 - Prob. 25PPSCh. 9.4 - Prob. 26PPSCh. 9.4 - Prob. 27PPSCh. 9.4 - Prob. 28PPSCh. 9.4 - Prob. 29PPSCh. 9.4 - Prob. 30PPSCh. 9.4 - Prob. 31PPSCh. 9.4 - Prob. 32PPSCh. 9.4 - Prob. 33PPSCh. 9.4 - Prob. 34PPSCh. 9.4 - Prob. 35PPSCh. 9.4 - Prob. 36PPSCh. 9.4 - Prob. 37PPSCh. 9.4 - Prob. 38PPSCh. 9.4 - Prob. 39PPSCh. 9.4 - Prob. 40HPCh. 9.4 - Prob. 41HPCh. 9.4 - Prob. 42HPCh. 9.4 - Prob. 43HPCh. 9.4 - Prob. 44HPCh. 9.4 - Prob. 45HPCh. 9.4 - Prob. 46HPCh. 9.4 - Prob. 47STPCh. 9.4 - Prob. 48STPCh. 9.4 - Prob. 49STPCh. 9.4 - Prob. 50STPCh. 9.4 - Prob. 51SRCh. 9.4 - Prob. 52SRCh. 9.4 - Prob. 53SRCh. 9.4 - Prob. 54SRCh. 9.4 - Prob. 55SRCh. 9.4 - Prob. 56SRCh. 9.4 - Prob. 57SRCh. 9.4 - Prob. 58SRCh. 9.4 - Prob. 59SRCh. 9.4 - Prob. 60SRCh. 9.4 - Prob. 61SRCh. 9.4 - Prob. 62SRCh. 9.4 - Prob. 63SRCh. 9.4 - Prob. 64SRCh. 9.4 - Prob. 65SCh. 9.4 - Prob. 66SCh. 9.4 - Prob. 67SCh. 9.4 - Prob. 1MCQCh. 9.4 - Prob. 2MCQCh. 9.4 - Prob. 3MCQCh. 9.4 - Prob. 4MCQCh. 9.4 - Prob. 5MCQCh. 9.4 - Prob. 6MCQCh. 9.4 - Prob. 7MCQCh. 9.4 - Prob. 8MCQCh. 9.4 - Prob. 9MCQCh. 9.4 - Prob. 10MCQCh. 9.4 - Prob. 11MCQCh. 9.4 - Prob. 12MCQCh. 9.4 - Prob. 13MCQCh. 9.4 - Prob. 14MCQCh. 9.4 - Prob. 15MCQCh. 9.4 - Prob. 16MCQCh. 9.4 - Prob. 17MCQCh. 9.4 - Prob. 18MCQCh. 9.4 - Prob. 19MCQCh. 9.4 - Prob. 20MCQCh. 9.5 - Prob. 1GPCh. 9.5 - Prob. 2GPCh. 9.5 - Prob. 3GPCh. 9.5 - Prob. 4GPCh. 9.5 - Prob. 1CYUCh. 9.5 - Prob. 2CYUCh. 9.5 - Prob. 3CYUCh. 9.5 - Prob. 4CYUCh. 9.5 - Prob. 5CYUCh. 9.5 - Prob. 6CYUCh. 9.5 - Prob. 7CYUCh. 9.5 - Prob. 8CYUCh. 9.5 - Prob. 9CYUCh. 9.5 - Prob. 10PPSCh. 9.5 - Prob. 11PPSCh. 9.5 - Prob. 12PPSCh. 9.5 - Prob. 13PPSCh. 9.5 - Prob. 14PPSCh. 9.5 - Prob. 15PPSCh. 9.5 - Prob. 16PPSCh. 9.5 - Prob. 17PPSCh. 9.5 - Prob. 18PPSCh. 9.5 - Prob. 19PPSCh. 9.5 - Prob. 20PPSCh. 9.5 - Prob. 21PPSCh. 9.5 - Prob. 22PPSCh. 9.5 - Prob. 23PPSCh. 9.5 - Prob. 24PPSCh. 9.5 - Prob. 25PPSCh. 9.5 - Prob. 26PPSCh. 9.5 - Prob. 27PPSCh. 9.5 - Prob. 28PPSCh. 9.5 - Prob. 29PPSCh. 9.5 - Prob. 30PPSCh. 9.5 - Prob. 31PPSCh. 9.5 - Prob. 32PPSCh. 9.5 - Prob. 33PPSCh. 9.5 - Prob. 34PPSCh. 9.5 - Prob. 35PPSCh. 9.5 - Prob. 36PPSCh. 9.5 - Prob. 37PPSCh. 9.5 - Prob. 38PPSCh. 9.5 - Prob. 39PPSCh. 9.5 - Prob. 40PPSCh. 9.5 - Prob. 41PPSCh. 9.5 - Prob. 42PPSCh. 9.5 - Prob. 43PPSCh. 9.5 - Prob. 44HPCh. 9.5 - Prob. 45HPCh. 9.5 - Prob. 46HPCh. 9.5 - Prob. 47HPCh. 9.5 - Prob. 48HPCh. 9.5 - Prob. 49HPCh. 9.5 - Prob. 50STPCh. 9.5 - Prob. 51STPCh. 9.5 - Prob. 52STPCh. 9.5 - Prob. 53STPCh. 9.5 - Prob. 54SRCh. 9.5 - Prob. 55SRCh. 9.5 - Prob. 56SRCh. 9.5 - Prob. 57SRCh. 9.5 - Prob. 58SRCh. 9.5 - Prob. 59SRCh. 9.5 - Prob. 60SRCh. 9.5 - Prob. 61SRCh. 9.5 - Prob. 62SRCh. 9.5 - Prob. 63SRCh. 9.5 - Prob. 64SRCh. 9.5 - Prob. 65SRCh. 9.5 - Prob. 66SCh. 9.5 - Prob. 67SCh. 9.6 - Prob. 1GPCh. 9.6 - Prob. 2AGPCh. 9.6 - Prob. 2BGPCh. 9.6 - Prob. 2CGPCh. 9.6 - Prob. 1CYUCh. 9.6 - Prob. 2CYUCh. 9.6 - Prob. 3CYUCh. 9.6 - Prob. 4CYUCh. 9.6 - Prob. 5CYUCh. 9.6 - Prob. 6CYUCh. 9.6 - Prob. 7CYUCh. 9.6 - Prob. 8CYUCh. 9.6 - Prob. 9CYUCh. 9.6 - Prob. 10CYUCh. 9.6 - Prob. 11CYUCh. 9.6 - Prob. 12CYUCh. 9.6 - Prob. 13CYUCh. 9.6 - Prob. 14PPSCh. 9.6 - Prob. 15PPSCh. 9.6 - Prob. 16PPSCh. 9.6 - Prob. 17PPSCh. 9.6 - Prob. 18PPSCh. 9.6 - Prob. 19PPSCh. 9.6 - Prob. 20PPSCh. 9.6 - Prob. 21PPSCh. 9.6 - Prob. 22PPSCh. 9.6 - Prob. 23PPSCh. 9.6 - Prob. 24PPSCh. 9.6 - Prob. 25PPSCh. 9.6 - Prob. 26PPSCh. 9.6 - Prob. 27PPSCh. 9.6 - Prob. 28PPSCh. 9.6 - Prob. 29PPSCh. 9.6 - Prob. 30PPSCh. 9.6 - Prob. 31PPSCh. 9.6 - Prob. 32PPSCh. 9.6 - Prob. 33PPSCh. 9.6 - Prob. 34PPSCh. 9.6 - Prob. 35PPSCh. 9.6 - Prob. 36PPSCh. 9.6 - Prob. 37PPSCh. 9.6 - Prob. 38PPSCh. 9.6 - Prob. 39PPSCh. 9.6 - Prob. 40PPSCh. 9.6 - Prob. 41PPSCh. 9.6 - Prob. 42PPSCh. 9.6 - Prob. 43PPSCh. 9.6 - Prob. 44HPCh. 9.6 - Prob. 45HPCh. 9.6 - Prob. 46HPCh. 9.6 - Prob. 47HPCh. 9.6 - Prob. 48STPCh. 9.6 - Prob. 49STPCh. 9.6 - Prob. 50STPCh. 9.6 - Prob. 51STPCh. 9.6 - Prob. 52SRCh. 9.6 - Prob. 53SRCh. 9.6 - Prob. 54SRCh. 9.6 - Prob. 55SRCh. 9.6 - Prob. 56SRCh. 9.6 - Prob. 57SRCh. 9.6 - Prob. 58SRCh. 9.6 - Prob. 59SRCh. 9.6 - Prob. 60SCh. 9.6 - Prob. 61SCh. 9.6 - Prob. 62SCh. 9.6 - Prob. 1ECh. 9.6 - Prob. 2ECh. 9.6 - Prob. 3ECh. 9.6 - Prob. 4ECh. 9.6 - Prob. 5ECh. 9.6 - Prob. 6ECh. 9.7 - Prob. 1AGPCh. 9.7 - Prob. 1BGPCh. 9.7 - Prob. 2AGPCh. 9.7 - Prob. 2BGPCh. 9.7 - Prob. 3AGPCh. 9.7 - Prob. 3BGPCh. 9.7 - Prob. 4AGPCh. 9.7 - Prob. 4BGPCh. 9.7 - Prob. 1CYUCh. 9.7 - Prob. 2CYUCh. 9.7 - Prob. 3CYUCh. 9.7 - Prob. 4CYUCh. 9.7 - Prob. 5CYUCh. 9.7 - Prob. 6CYUCh. 9.7 - Prob. 7CYUCh. 9.7 - Prob. 8CYUCh. 9.7 - Prob. 9CYUCh. 9.7 - Prob. 10CYUCh. 9.7 - Prob. 11CYUCh. 9.7 - Prob. 12CYUCh. 9.7 - Prob. 13CYUCh. 9.7 - Prob. 14PPSCh. 9.7 - Prob. 15PPSCh. 9.7 - Prob. 16PPSCh. 9.7 - Prob. 17PPSCh. 9.7 - Prob. 18PPSCh. 9.7 - Prob. 19PPSCh. 9.7 - Prob. 20PPSCh. 9.7 - Prob. 21PPSCh. 9.7 - Prob. 22PPSCh. 9.7 - Prob. 23PPSCh. 9.7 - Prob. 24PPSCh. 9.7 - Prob. 25PPSCh. 9.7 - Prob. 26PPSCh. 9.7 - Prob. 27PPSCh. 9.7 - Prob. 28PPSCh. 9.7 - 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