Secondary II Term 2 Final Review Key
1. concave down (opens down)
24. 𝑥 = 5
Vertex is a maximum at (0,4)
25. 𝑥 ≈ 5.07 𝑓𝑒𝑒𝑡
Zeros / x-intercepts / roots (-2,0)(2,0)
26. 𝐴(𝑤) = 𝑤(40 − 2𝑤)𝑜𝑟 40𝑤 − 2𝑤 2 𝑜𝑟 − 2𝑤 2 +
40𝑤
Y intercept (0,4)
27. Austin is correct – not enough information
a=-1, b=0, c=4
28. 100 𝑓𝑡 ℎ𝑖𝑔ℎ
2a. yes
29. 2.5 seconds
2b. yes
3. yes pythagorean theorem 32 + 42 = 52
31. Part of Problem missing DO NOT DO
4. sides: √3, 2, 1
32. quadratic
5. 8√2
6. (−1,0)(−3,0)
33. linear
7. (−2,4)
8. (0, −12)
34. 𝑔(−2) = 4
9. 𝑓(𝑥) = −4(𝑥 + 2)2 + 4
𝑥
35. sin 42 = 25
10. 𝑓(𝑥) = −4(𝑥 + 1)(𝑥 + 3)
11. parabola that opens up or is concave up (smiley)
12. sin 𝐵 =
30. 5 seconds
37. 900
𝑏
𝑐
2
13. 𝑠𝑡𝑎𝑛𝑑𝑎𝑟𝑑 𝑓𝑜𝑟𝑚: 𝑓(𝑥) = 𝑥 + 2𝑥 − 8
2
𝑣𝑒𝑟𝑡𝑒𝑥 𝑓𝑜𝑟𝑚: 𝑓(𝑥) = (𝑥 + 1) − 9
𝑓𝑎𝑐𝑡𝑜𝑟𝑒𝑑 𝑓𝑜𝑟𝑚: 𝑓(𝑥) = (𝑥 + 4)(𝑥 − 2)
14. 𝑥 = −3
15. 𝑅𝑎𝑛𝑔𝑒 [3, ∞) 𝑜𝑟 𝑦 ≥ 3
16. (1, ∞) 𝑜𝑟 𝑥 > 1
17. 𝑁𝑜 sin 42 =
36. 158⁰
𝑥
25
18. 14.17 𝑖𝑛
19. Part of problem missing Do Not Do
20. 443.17 𝑚 𝑡𝑎𝑙𝑙
21. max 𝑎𝑟𝑒𝑎 56.25 𝑠𝑞𝑢𝑎𝑟𝑒 𝑓𝑒𝑒𝑡
22. 𝑤𝑖𝑑𝑡ℎ 𝑖𝑠 7.5 𝑓𝑒𝑒𝑡 𝑎𝑛𝑑 𝑙𝑒𝑛𝑔𝑡ℎ 𝑖𝑠 7.5 𝑓𝑒𝑒𝑡
23. 50 𝑠𝑞𝑢𝑎𝑟𝑒 𝑓𝑒𝑒𝑡
38. 2𝑥
39. 700
40. 𝑥 = 6
41. 9.42 𝑐𝑚2
̂ = 134⁰
42. 𝑚𝐹𝐸𝐷
43. tangent line
44. 4.5𝜋
45. ∠𝐾𝑂𝐿
46. 19.7 𝑚
47. (𝑥 − 4)2 + 𝑦 2 = 9
48. 29𝑐𝑚
49. 660
50. 𝑥 = 68⁰