Name: Date: UNIT #8 QUADRATIC FUNCTIONS AND THEIR ALGEBRA REVIEW QUESTIONS Part I Questios. For the quadratic fuctio show below, the coordiates of its verte are () 0, (), 7 (3) 6, (4) 3, 6. A quadratic fuctio has selected values show i the table below. If its domai is all real umbers, which of the followig represets the rage of this quadratic fuctio? (), 6 (3) 6, () 6,5 (4),6 3 4 5 6 0 7 6 7 0 5 3. Which of the followig quadratic fuctio has a maimum value of 6? () () 6 (3) 6 6 (4) 6 4. Which of the followig could be the equatio of the quadratic show below? Eplai our reasoig. () () 3 8 5 4 6 7 (3) (4) 8
5. The quadratic fuctio f has oe zero at 5 other zero? () (3) 5 () 5 (4) 3 ad a turig poit at 3, 0. What is the value of its 8? 6. Which of the followig is the turig poit of the fuctio () 8, (3) 8, () 8, (4) 8, 3 5 0? 7. Which of the followig represets the rage of the fuctio () 0 (3) 0 () 5 (4) 5 g 8. The quadratic fuctio 8 7 ca be writte equivaletl as () 4 3 (3) 8 7 () 4 9 (4) 9. If the quadratic fuctio f is graphed below alog with the quadratic fuctio followig could be a correct equatio for g? g, which of the () g f () g (3) g (4) g g emathinstruction, RED HOOK, NY 57, 05
0. The solutios to the equatio 5 3 0 are () 3 ad (3) 5 ad 5 () ad 3 (4), 3, ad 5. Which of the followig is the solutio set to the equatio 6 6 0? () 6,6 (3) 8, () 6,6 (4), 8. The solutio set to 8 4 0 is () 0 ad 4 (3) 0 ad () ad 4 (4) 4 ad 3. Which of the followig represet the zeroes of the fuctio 3 0? () 3 ad 0 (3) 0 ad 0 () 5 ad (4) 3 ad 5 4. Which of the followig is the turig poit of the fuctio 3 5 (), 6 (3), 7 () 3, (4) 4, 8? emathinstruction, RED HOOK, NY 57, 05
5. The product of two cosecutive itegers is 4 more tha si times the smaller iteger. Which of the followig equatios could be solved to fid the smaller iteger,? () () 4 0 (3) 7 4 0 (4) 5 4 0 6 4 0 6. Which of the followig represets the solutio set to the equatio below? 7 0 () 4, (3) 7, () 6, (4), 8 7. Which of the followig quadratic has the same zeroes as 7 30? () () 7 0 (3) 5 35 50 (4) 4 30 7 30 8. Which of the followig represets the turig poit of the quadratic fuctio 0 35? () 3, 0 (3) 5, 0 () 5,0 (4) 3, 74 9. Which of the followig represets a correct equatio for the parabola show below? () 3 () (3) 5 (4) 3 emathinstruction, RED HOOK, NY 57, 05
Free Respose Questios 0. A quadratic fuctio has a turig poit at 3, 8. Selected values for the fuctio are show i the table below. 0 3 4 5 6 7 f 0 0 8 6 4 (a) Fiish fillig out the table. (b) State the zeroes of the fuctio.. For the quadratic fuctio (a) Graph the fuctio for the stated domai iterval. f 4 defied o the iterval 6. (b) State the iterval over which f is icreasig. (c) Is 0 part of a iterval where f 0 or f 0? Eplai our choice.. Place the quadratic 4 79 ito verte form b usig the method of completig the square ad the state the coordiates of its verte. emathinstruction, RED HOOK, NY 57, 05
3. Solve the followig equatio for all values of. 8 7 4. Solve the followig equatio for all values of. 8 4 3 8 0 5. Three cousis have ages that are cosecutive itegers. The product of the two older cousi's ages is twelve less tha si times the sum of the ouger two cousi's ages. Write a equatio that could be solved to fid the three cousi's ages. Eplai how our equatio models the iformatio provided. Fid the ages of the three cousis algebraicall. emathinstruction, RED HOOK, NY 57, 05
6. A rectagle has a legth that is ie feet less tha four times its width. Its area is 90 square feet. Algebraicall determie the legth of its width ad legth. Show the work that leads to our aswer. 7. A rectagular garde origiall measured 5 feet b 0 feet as show below. A path was created aroud the garde b icreasig each side of the origial rectagle b -feet o both sides. 0 ft 5 ft Epress the legth ad width of the larger rectagle i terms of. If the area of the path that rigs the garde is 54 square feet, fid the value of. emathinstruction, RED HOOK, NY 57, 05