Answer f ( x ) = 3 x 2 + 24 x − 6 Explanation Given information: In the question four quadratic functions are given, we have to find which one does not belong with other three. Formula used: we know that any quadratic function in vertex form is y = a ( x − h ) 2 + k . Calculation: If I take one by one all quadratic function and write in vertex form and then compare. 1. f ( x ) = 3 x 2 + 6 x − 24 f ( x ) = 3 ( x 2 + 2 x − 8 ) f ( x ) = 3 { ( x + 1 ) 2 − 9 } f ( x ) = 3 ( x + 1 ) 2 − 27 2. f ( x ) = 3 x 2 + 24 x − 6 f ( x ) = 3 ( x 2 + 8 x − 2 ) f ( x ) = 3 { ( x + 4 ) 2 − 18 } f ( x ) = 3 ( x + 4 ) 2 − 54 3. f ( x ) = 3 ( x − 2 ) ( x + 4 ) f ( x ) = 3 x 2 + 6 x − 24 f ( x ) = 3 ( x 2 + 2 x − 8 ) f ( x ) = 3 { ( x + 1 ) 2 − 9 } f ( x ) = 3 ( x + 1 ) 2 − 27 4. f ( x ) = 3 ( x + 1 ) 2 − 27 From this comparison we get only option 2.is different from other three. Hence we can say that f ( x ) = 3 x 2 + 24 x − 6 is different from other means does not belong to other three.

BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015

15th Edition

ISBN: 9781608408405

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Cengage Learning

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Question

Chapter 2.2, Problem 2E

To determine

To Calculate: The quadratic equation that belongs to other three.

Expert Solution & Answer

Answer to Problem 2E

f(x)=3x2+24x−6

Explanation of Solution

Given information: In the question four quadratic functions are given, we have to find which one does not belong with other three.

Formula used: we know that any quadratic function in vertex form is y=a(x−h)2+k .

Calculation: If I take one by one all quadratic function and write in vertex form and then compare.

f(x)=3x2+6x−24f(x)=3(x2+2x−8) f(x)=3{ (x+1) 2 −9} f(x)=3 (x+1) 2 −27

f(x)=3x2+24x−6f(x)=3(x2+8x−2) f(x)=3{ (x+4) 2 −18} f(x)=3 (x+4) 2 −54

f(x)=3(x−2)(x+4)f(x)=3x2+6x−24f(x)=3(x2+2x−8) f(x)=3{ (x+1) 2 −9} f(x)=3 (x+1) 2 −27

f(x)=3(x+1)2−27

From this comparison we get only option 2.is different from other three. Hence we can say that f(x)=3x2+24x−6 is different from other means does not belong to other three.

Chapter 2.2, Problem 1E

Chapter 2.2, Problem 3E

Chapter 2 Solutions

BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015

Ch. 2.1 - Prob. 1E Ch. 2.1 - Prob. 2E Ch. 2.1 - Prob. 3E Ch. 2.1 - Prob. 4E Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E Ch. 2.1 - Prob. 7E Ch. 2.1 - Prob. 8E Ch. 2.1 - Prob. 9E Ch. 2.1 - Prob. 10E

Ch. 2.1 - Prob. 11E Ch. 2.1 - Prob. 12E Ch. 2.1 - Prob. 13E Ch. 2.1 - Prob. 14E Ch. 2.1 - Prob. 15E Ch. 2.1 - Prob. 16E Ch. 2.1 - Prob. 17E Ch. 2.1 - Prob. 18E Ch. 2.1 - Prob. 19E Ch. 2.1 - Prob. 20E Ch. 2.1 - Prob. 21E Ch. 2.1 - Prob. 22E Ch. 2.1 - Prob. 23E Ch. 2.1 - Prob. 24E Ch. 2.1 - Prob. 25E Ch. 2.1 - Prob. 26E Ch. 2.1 - Prob. 27E Ch. 2.1 - Prob. 28E Ch. 2.1 - Prob. 29E Ch. 2.1 - Prob. 30E Ch. 2.1 - Prob. 31E Ch. 2.1 - Prob. 32E Ch. 2.1 - Prob. 33E Ch. 2.1 - Prob. 34E Ch. 2.1 - Prob. 35E Ch. 2.1 - Prob. 36E Ch. 2.1 - Prob. 37E Ch. 2.1 - Prob. 38E Ch. 2.1 - Prob. 39E Ch. 2.1 - Prob. 40E Ch. 2.1 - Prob. 41E Ch. 2.1 - Prob. 42E Ch. 2.1 - Prob. 43E Ch. 2.1 - Prob. 44E Ch. 2.1 - Prob. 45E Ch. 2.1 - Prob. 46E Ch. 2.1 - Prob. 47E Ch. 2.1 - Prob. 48E Ch. 2.1 - Prob. 49E Ch. 2.1 - Prob. 50E Ch. 2.1 - Prob. 51E Ch. 2.1 - Prob. 52E Ch. 2.2 - Prob. 1E Ch. 2.2 - Prob. 2E Ch. 2.2 - Prob. 3E Ch. 2.2 - Prob. 4E Ch. 2.2 - Prob. 5E Ch. 2.2 - Prob. 6E Ch. 2.2 - Prob. 7E Ch. 2.2 - Prob. 8E Ch. 2.2 - 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