Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015

1st Edition

ISBN: 9781680331165

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Question

Chapter 3.3, Problem 62E

To determine

To Find: The quadratic function in vertex form then identify the vertex.

Expert Solution & Answer

Answer to Problem 62E

g(x)=(x+72)2−414vertex(h,k)=(−72,−414)

Explanation of Solution

Given: g(x)=x2+7x+2

Given: g(x)=x2+7x+2

Vertex form of quadratic function: f(x)=a(x−h)2+k

g(x)=x2+7x+2

Adding both sides (b2)2 where b=7

g(x)+(72)2=x2+7x+(72)2+2g(x)+(72)2=(x2+7x+(72)2)+2g(x)+494=(x2+7x+494)+2g(x)=(x+72)2+2−494g(x)=(x+72)2−414vertex(h,k)=(−72,−414)

Hence,

g(x)=(x+72)2−414vertex(h,k)=(−72,−414)

Chapter 3.3, Problem 61E

Chapter 3.3, Problem 63E

Chapter 3 Solutions

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015

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