Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 9 - Quadratic Functions and Equations - 9-7 Linear, Quadratic, and Exponential Models - Practice and Problem-Solving Exercises - Page 580: 26



Work Step by Step

$(0,7), (2,13), (4,35)$ $y=ax^2+bx+c$ $13-7=6$ $35-13=22$ $22-6=16$ $y=a*0^2+b*0+c$ $y=0*a+0+c$ $y=0+0+c$ $y=c$ $7=c$ $y=a*2^2+b*2+7$ $13=4a+2b+7$ $13-7=4a+2b+7-7$ $6=4a+2b$ $y=a*4^2+b*4+7$ $35=16a+4b+7$ $35-7=16a+4b+7-7$ $16a+4b=28$ $4a+2b=6$ $16a+4b=28$ $-2*(4a+2b=6)$ $-8a-4b=-12$ $16a+4b-8a-4b=28-12$ $8a=16$ $8a/8 = 16/8$ $a=2$ $4*2+2b=6$ $8+2b=6$ $(8+2b=6)/2$ $4+b=3$ $4+b-4=3-4$ $b=-1$ $y=2x^2-x+7$
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