Chapter 5: Exercises with Solutions

Section 5.2 Vertex Form 4535.2 ExercisesIn Exercises 1-8, expand the binomial.1.2.(x + 4 ) 25(x − 4 ) 253. (x + 3) 24. (x + 5) 25. (x − 7) 26.(x − 2 ) 257. (x − 6) 28.(x − 5 ) 22In Exercises 9-16, factor the perfect squaretrinomial.9. x 2 − 6 5 x + 92510. x 2 + 5x + 25 411. x 2 − 12x + 3612. x 2 + 3x + 9 413. x 2 + 12x + 3614. x 2 − 3 2 x + 9 1615. x 2 + 18x + 8116. x 2 + 10x + 25In Exercises 17-24, transform the givenquadratic function into vertex form f(x) =(x − h) 2 + k by completing the square.17. f(x) = x 2 − x + 818. f(x) = x 2 + x − 719. f(x) = x 2 − 5x − 420. f(x) = x 2 + 7x − 121. f(x) = x 2 + 2x − 622. f(x) = x 2 + 4x + 823. f(x) = x 2 − 9x + 324. f(x) = x 2 − 7x + 8In Exercises 25-32, transform the givenquadratic function into vertex form f(x) =a(x − h) 2 + k by completing the square.25. f(x) = −2x 2 − 9x − 326. f(x) = −4x 2 − 6x + 127. f(x) = 5x 2 + 5x + 528. f(x) = 3x 2 − 4x − 629. f(x) = 5x 2 + 7x − 330. f(x) = 5x 2 + 6x + 431. f(x) = −x 2 − x + 432. f(x) = −3x 2 − 6x + 41Copyrighted material. See: http://msenux.redwoods.edu/IntAlgText/Version: Fall 2007