Explanation Given: The graph of the function y = a x 2 + b x + c contains the points ( − 1 , − 2 ) , ( 1 , − 4 ) and ( 2 , 4 ) . Calculation: The three points must satisfy the equation y = a x 2 + b x + c . For the point ( − 1 , − 2 ) we have, y = a x 2 + b x + c − 2 = a ( − 1 ) 2 + b ( − 1 ) + c − 2 = a − b + c -----1 For the point ( 1 , − 4 ) we have, y = a x 2 + b x + c − 4 = a ( 1 ) 2 + b ( 1 ) + c -----2 For the point ( 2 , 4...

Precalculus Enhanced with Graphing Utilities (7th Edition)

7th Edition

ISBN: 9780134119281

Author: Michael Sullivan, Michael Sullivan III

Publisher: PEARSON

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Chapter 11.1, Problem 74AE

To determine

To find: Find real numbers $a$ , $b$ , and $c$ so that the graph of the function $y = a x^{2} + b x + c$ contains the points $(- 1, - 2), (1, - 4) and (2, 4)$ .

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Chapter 11.1, Problem 73AE

Chapter 11.1, Problem 75AE

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Chapter 11 Solutions

Precalculus Enhanced with Graphing Utilities (7th Edition)

Ch. 11.1 - Solve the equation: 3x+4=8x . (pp. A44-A46)Ch. 11.1 - (a) Graph the line: 3x+4y=12 . (b) What is the...Ch. 11.1 - If a system of equations has no solution, it is...Ch. 11.1 - If a system of equations has one solution, the...Ch. 11.1 - If the solution to a system of two linear...Ch. 11.1 - If the lines that make up a system of two linear...Ch. 11.1 - If a system of two linear equations in two...Ch. 11.1 - If a system of dependent equations containing...Ch. 11.1 - { 2xy=5 5x+2y=8 x=2,y=1;( 2,1 )Ch. 11.1 - { 3x+2y=2 x7y=30 x=2,y=4;( 2,4 )

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Find real numbers a , b , and c so that the graph of the function y = a x 2 + b x + c contains the points ( − 1 , − 2 ) , ( 1 , − 4 ) and ( 2 , 4 ) .

Solution Summary: The author explains how to find the graph of the function y = a x 2 + b

To find: Find real numbers $a$ , $b$ , and $c$ so that the graph of the function $y = a x^{2} + b x + c$ contains the points $(- 1, - 2), (1, - 4) and (2, 4)$ .

Want to see the full answer?

Chapter 11 Solutions

Find real numbers a , b , and c so that the graph of the function y = a x 2 + b x + c contains the points ( − 1 , − 2 ) , ( 1 , − 4 ) and ( 2 , 4 ) .

Solution Summary: The author explains how to find the graph of the function y = a x 2 + b

To find: Find real numbers a , b , and c so that the graph of the function y = a x 2 + bx + c contains the points ( −1, −2 ), ( 1, −4 ) and ( 2, 4 ) .

Want to see the full answer?

Chapter 11 Solutions

To find: Find real numbers $a$ , $b$ , and $c$ so that the graph of the function $y = a x^{2} + b x + c$ contains the points $(- 1, - 2), (1, - 4) and (2, 4)$ .