Math 2 Bell Ringers Day 1 – Day 90

Day 4 1. 2. 3. 4. 5.

Day 5 2. Graph the figure under the given transformation. Does this appear to be a rigid motion? 3. 4. 5. ∆𝐴𝐵𝐶 has coordinates 𝐴 2,3 , 𝐵 4, −2 𝑎𝑛𝑑 𝐶 3,0 . After a Translation, the coordinates of 𝐴′ are (6, −1). What are the coordinates of 𝐵′ and 𝐶′ ?

Day 6

Day 7

Day 8

Day 8

Day 9

Day 10

8. 9. 10. Day 11

Day 12 1. 2. 3. 4.

Day 13

Day 15 1. 2. Describe the differences between the graphs of 𝑦= 𝑥+6 2 and 𝑦= 𝑥−6 2 +7. 3. Write the equation of the graph below. Describe the transformations to 𝑦= 𝑥 2 in the problems below. 4. 5.

Day 16 1. 2 3. 4.

Day 17

Day 18

Day 19 1. The Gateway Arch in St. Louis was built in 1965. It the tallest monument in the United States. The arch can be modeled with the function y = 0.00635x2 + 4x, where x and y are in feet. a. How high above the ground is the tallest point of the arch? b. How far apart are the legs of the arch at their bases? The height of a batted ball is modeled by the function h = 0.01x2 + 1.22x + 3, where x is the horizontal distance in feet from the point of impact with the bat, and h is the height of the ball in feet. a. What is the maximum height that the ball will reach? b. At what distance from the batter will the ball hit the ground?   2.

Day 20 4. 5. 6. 7. 8. Explain how each function was translated from the parent function 𝑓 𝑥 = 𝑥 2 . 9. 𝑓 𝑥 = (𝑥−1) 2 +2 10. 𝑓 𝑥 = (𝑥+3) 2 − 4 11. 𝑓 𝑥 = 2(𝑥−2) 2 +5 12. 𝑓 𝑥 = −3(𝑥+7) 2 −8 13. 𝑓 𝑥 = −(𝑥−1) 2 +4 14. 𝑓 𝑥 = −(𝑥−7) 2 +10

Turn in the following problems Day 21 The equation for the motion of an object with constant acceleration is d=vt + ½at2, where d is the distance traveled in feet per second, a is acceleration in feet per second squared, and t is time in seconds. a. Janna has two toy race cars on a track. One starts at velocity 0 ft/s, and accelerates at 2 ft/s2. Write an equation for the distance the car travels in time, t. b. The second car travels at a constant speed of 4 ft/s. Write an equation for the distance the second car travels in time, t. (Hint: When speed is constant, acceleration is 0 ft/s2) c. Write an equation to determine when the cars have traveled the same distance. What is the time? The area of a rectangular fountain is (x2 + 12x + 20) ft2. The width is (x + 2) ft. a. Find the length of the fountain. b. A 2-foot walkway is built around the fountain. Find the dimensions of the outside border of the walkway. c. Find the total area covered by the fountain and walkway.

Day 21 Solve each equation by finding square roots. 1. 5 𝑥 2 =80 2. 𝑥 2 −4=0 3. 3 𝑥 2 −15=0 4. 9 𝑥 2 =25 5. A rectangular swimming pool is6 ft. deep. One side of the pool is 2.5 times longer than the other. The mount of water needed to fill the swimming pool is 2160 cubic feet. Find the dimensions of the pool. Solve each equation. 6. 𝑥 2 +6𝑥+9=1 7. 𝑥 2 −4𝑥+4=100 8. 25 𝑥 2 +10𝑥+1=9 9. 9 𝑥 2 +24𝑥+16=36 10. Rewrite the equation in vertex form: 𝒚= 𝒙 𝟐 +𝟒𝒙 −𝟕

Day 23 1. 2. 3. 4. 5. 6. 7. 1-5.

Day 24 Write a quadratic equation for each pair of value as roots. – 6 and 4 2. 3 and 8 3. 7, – 7 4. 3, 3 Solve each equation using the vertex form. 5. 𝑥 2 +8𝑥 −20=0 6. 2 𝑥 2 +11𝑥−21=0 Solve using the Quadratic Formula. 7. 𝑚 2 +12𝑚+36=0 8. 𝑥 2 −6𝑥+13=0 Solve each equation. 9. 𝑥 2 −6𝑥+5=0 10. 𝑥 2 −4𝑥+10=0

Day 25 Solve each equation using the Quadratic Formula. 1. 𝑥 2 −5𝑥 −7=0 2. 2𝑥 2 −5𝑥 −3=0 Day 25 3. 4. 5. 6. 7. 8.

Find the solutions to the following problems. 1. −81 𝑥 7 2. 𝑥 5 𝑦 4 𝑧 12 𝑤 15 3. −49 𝑥 2 4. 3 𝑥 2 + 108=0 5. 𝑥 2 =−64 6. 2 𝑥 2 =−50 7. 3+4𝒾 +( 5 −6𝒾) 8. 3 −2𝒾 −(5 −7𝒾) 9. 5𝒾+7𝒾

1. Day 27 2.