1. Use the following equation to perform the operations below:a. Graph the original (not a reduced version) equation using a graphing calculator or an on-line graphing tool like the one at www.desmos.com/calculator. Where are the vertical asymptotes of the graph located? Explain how you can use the equation to verify these vertical asymptotes.b. What graphical feature occurs at ? Use the "trace" function, zoom in on the graph, or look at a table of values to verify what is happening at . Why isn't there a vertical asymptote at ? c. Solve the equation for when (find the roots of the equation). Show all of your work and explain the strategies you use in each step.2. The reflector of a satellite dish is in the shape of a parabola with a diameter of 4 feet and a depth of 2 feet. To get the maximum reception we need to place the antenna at the focus. a. Write the equation of the parabola of the cross section of the dish, placing the vertex of the parabola at the origin. Convert the equation into standard form, if necessary. What is the defining feature of the equation that tells us it is a parabola?b. Describe the graph of the parabola. Find the vertex, directrix, and focus.c. Use the endpoints of the latus rectum to find the focal width.d. How far above the vertex should the receiving antenna be placed?

Unit 8 Project Find the next five terms of the arithmetic sequence 42, 37, 32, ... . Find the 24th term of an arithmetic sequence for which a1 = 2 and d = 6. Find the three arithmetic means between ­4 and 16. Find the sum of the arithmetic series for which a1 = 7, n = 31, and an = 127. Find the next three terms of the geometric sequence 81, 27, 9, ... . Find the eight term of the geometric sequence for which a1 = 5 and r = ­2. Find two geometric means between 7 and 189 Find the sum of the geometric series for which a1 = 125, r = 2⁄5, and n = 4. Find the sum of each series, if it exists. 15 9. ∑ (14 − 2k) k=3 10. 91 + 85 + 79 + ... + (­29) Find the first five terms of each sequence. a1 =2,an+1 =an +3 a1 =­4,an+1 =an +n2 Find the variance, mean, median, mode, and standard deviation for the given values. 13. 13, 15, 12, 10, 4, 16, 17, 22, 9 Use the data that shows the ages of the U.S. population to create a histogram. Tell whether the data is positively skewed, negatively skewed, or if it has a normal distribution. The number of home runs scored by teams in the Brooksfield baseball league are normally distributed and have a mean of 94 and a standard deviation of 8. What percentage of the teams have scored more than 102 home runs? Find the margin of error with the given conditions. Round to four decimal places. 16. p=33%andn=600. 17. 200 high school students were surveyed about whether they driving or taking the bus to school. 145 preferred driving.