Algebra 2 FINAL REVIEW!! *25 extra credit QUIZ points for completing all other review problems other than the chapter you were assigned for the project (10 points if half or more are complete. 0 points if less than half are complete)* General Knowledge: Know the meaning of “domain” and “range” Know how to find the domain and range of a function: o Using the equation o Using the graph Know and be able to describe what ‘a’, ‘h’, and ‘k’ do to translate any type of graph. Know what the general shape looks like of all of the following types of graphs: o 𝑦 = 𝑎|𝑥 − ℎ| + 𝑘 o 𝑦 = 𝑎(𝑥 − ℎ)2 + 𝑘 o 𝑦 = 𝑎√𝑥 − ℎ + 𝑘 3 o 𝑦 = 𝑎 √𝑥 − ℎ + 𝑘 o 𝑦 = 𝑎𝑏 𝑥−ℎ + 𝑘 o 𝑦 = log 𝑏 𝑥 Be able to graph, find the domain and range of, and find the asymptotes of all of the above graphs Be able to find the restrictions on the domain when dividing polynomials (Chapter 7 section 6) Chapter 2: Pg 68 #29-31 (age-0202; video 2) [3] Pg 91 #29-32 *also state the domain and range of each* [4] Chapter 3: Pg 128 #3-5, 18-20 (age-0302; videos 1, 3, 4) [6] Pg 136 #9, 10, 18-20 (age-0303; videos 2, 3) [5] Pg 136 #35-39 *use algebra to show you are correct* [5] Pg 142 #1-3, 6 (age-0304; video 1) [4] Chapter 5: Pg 248 #28-30 (age-0502; video 4) [3] Pg 255 #5, 6, 9, 10, 13-16 [8] Done by 4/27 __________________________________________________________________________________________ Pg 256 #4, 41 *Just explain how the graph is translated from the parent function, 𝑦 = 𝑥 2 * [2] Pg 263 #29-32, 43-45, 57-59 [10] 5.1-5.4 Practice Test #3, 18 [2] Pg 270 #4-6, 10-12 (age-0505; all videos) [6] Done by 5/4 Pg 278 #1-5, 30-34, 58, 60, 65, 66 (age-0506; video 1, 3, 4) [9] __________________________________________________________________________________________ Pg 278 #30-34, 36-38 [8] Pg 293 #2-4, 27-29 (age-0508; video 1) [6] The height of a football after it’s been kicked can be modeled by the equation ℎ(𝑡) = −16𝑡 2 + 45𝑡 + 2.8 where h(t) represents the height of the ball in feet and t represents the time in seconds after the ball was kicked. o Graph the equation on graph paper. Be sure to label the vertex and the axes. o What is the maximum height of the ball? o Find the height of the ball after it has traveled 2 seconds (show work). o Find the height of the ball after it has traveled 1.5 seconds (show work). o Explain the meaning of the x-intercepts of your graph in the context of this problem. o If the ball is not caught, how long will it take to hit the ground? (Show your work!) Chapter 6: Pg 317 #1-3, 16-22 *find the zeros only*, 35, 36 (age-0602; video 3) [12] Done by 5/11 __________________________________________________________________________________________ 6.1-6.2 Take-Home Quiz #8-11 [4] Chapter 7: Pg 372 #13-20, 21-28, 37, 44, 45 (age-0701) [19] Done by 5/18 Pg 382 #8-11 (age-0703; videos 1, 2) [4] __________________________________________________________________________________________ Pg 394 #15-20, 23 (age-0705; video 1, 2, 4) [7] Pg 401 #13-19, 31-36, 40-42 (age-0706; all videos) [11] Pg 417 #1, 2, 5, 6, 20, 21 *describe each translation in words* [6] Chapter 8: Pg 442 #24-26 [3] Pg 457 #25-30, 58-65 (age-0804; video 1) [14] Pg 464 #1-8, 25-32, 40, 41, 44-47 (age-0805; videos 1, 4, 5) [22] An investment of $200 is worth $315.24 after seven years of continuous compounding. Find the interest rate. Jenna puts $3,000 into a continuously compounded account. She keeps her money there until it grows to $3,884. If the interest rate was 4.3%, how long did Jenna keep the money in the account? Chapter 9: Pg 511 #9-12, 16 (age-0904; all videos) [5] Pg 517 #10-13 (age-0905; video 1) [4] Chapter 12: Pg 656 #1-8 (age-1202; video 1) [8] Pg 695 #1-4, 11-14 (age-1207; videos 1, 2) [8] Due the Day of the Final May 30th