Given thar x): ý and gle)a -46x+ 2)+)ta b)» Wule down the values f a and 6'f the frunclion goGimen that x: ~3 is one schetion for9(x)-0 find the value the auerSdutionIdentify the olages thar Branafomfa) onto gla)

Answered: Given thar fx): Ý and glx) -46x+2)+)…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

Given thar x): ý and gle)a -46x+ 2)+)
ta b)
» Wule down the values f a and 6'
f the frunclion go
Gimen that x: ~3 is one schetion for
9(x)-0 find the value the auer
Sdution
Identify the olages thar Branafom
fa) onto gla)

Expert Solution

Step 1

$G i v e n t h a t t w o f u n c t i o n f (x) a n d g (x) A c c o r d i n g t o g i v e n g r a p h (a, b) i s v e r t e x o f g (x) T o f i n d : (A) v a l u e o f (a, b) (B) x = - \frac{3}{2} i s t h e s o l u t o i n f o r g (x) = 0 f i n d t h e v a l u e o f o t h e r s o l u t i o n S o l u t i o n (A) g (x) = - 4 {(x + 2)}^{2} + 1 y = - 4 {(x + 2)}^{2} + 1 y - 1 = - 4 {(x + 2)}^{2} V e r t e x = (- 2, 1) S o, a = - 2, b = 1$