Question 6Complete the square for each of the following expressions below(a) x² +2x+2(b)x² + 6x –1(c)x² – 10x + 3Question 7Express x - 5x +7 in the form (x+ A)´ +B where p and q are integers.Hence write down the coordinates of the minimum point.

Answered: Question 6 Complete the square for each…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section9.2: Transformations Of Quadratic Functions

Problem 42HP

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$We first compare the equation with {ax}^{2} + bx + c Then we will add and subtract {(\frac{b}{2 a})}^{2} to complete the square .$

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$a) For this a = 1, b = 2, c = 2 {(\frac{b}{2 a})}^{2} = {(\frac{2}{2 (1)})}^{2} = 1 Now add and subtract 1 . x^{2} + 2 x + 2 = (x^{2} + 2 x + 1) + 2 - 1 = {(x + 1)}^{2} + 1 Answer (a) : {(x + 1)}^{2} + 1$

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