4 worksheet

100% 4) [4 pts] Write the vertex form for the quadratic function f, whose vertex is (4, 9) and has leading coefficient a = 2. 5) [2 pts each] Given that g(x) = -4(x +5) -2, find the following characteristics of the function g(x). a) Vertex: b) Domain in interval notation: c) Range in interval notation: 6) [4 pts] Consider the graph of the equation y =(x-9) -7. Compared the graph of y = x , how has the vertex been shifted (left/right and/or up/down) and by how many units? 7) [2 pts each] If a ball is thrown straight up with a speed of 68 ft/s, its height at time t (in seconds) is given by h(t) = -81 +681+5. Use graphing technology to determine the following and round where appropriate. a) What is the maximum height of the ball? b) When does the ball reach its maximum height? c) When does the ball hit the ground?3 100% 8) [5 pts] Solve the following quadratic equation by completing the square. x + 6x =10 9) Consider h(r) =r* +2r+5. a) [5 pts] Covert h(r) to vertex form. b) [2 pts] What is the vertex of the graph of h? c) [2 pts] What is the domain of h? d) [2 pts] What is the range of h?10) [10 pts] Graph f(x) = x -4x-5 by algebraically determining its key features (x and y-intercepts and vertex). Then state the domain and range of the function. x-intercepts: y-intercept: Vertex: Domain: Range: 11) [5 pts each] Solve the following absolute value equations. Clearly state the solution set. a) 41-3x +41-7=1 b) |2x-1) =12x+21 The solution set is The solution set isInstructor grading score: /70 points Name: Math 95 Worksheet 4 Instructions: Please show all your work and use appropriate notation and formatting. You will be graded not only on your mathematical accuracy but on the work you show to get there. All word problems require a complete sentence containing relevant units of measure to answer the question. The main purpose of worksheet assignments is for you to show me what you understand and how you would present your reasoning so that I can give you feedback on both before you take your exam. You may use any available academic resources (your notes, your book, your peers, your instructor, tutors, open discussion board in D2L etc.) while working on this graded problem set. Please do this assignment by hand using the space provided on the worksheet and upload your completed worksheet as 1 pdf file (NOT JPEG, Word, OR a Zip folder) in the assignments tab in D2L by the assignment's due date. If you don't have a scanner at home and can't make it to a library or a PCC campus (all of them have free scanners you can use) there are some great free scan apps you can download for your smartphone such as Adobe Scan. Do your best! 1) [4 pts] Graph the equation y =-3x +4. 2) [4 pts] Graph the linear equation y = ? (x+3) -4 by Make sure to plot at least three points. identifying the slope and one point on this line. 3) [3 pts each] Let f(x) =-2(x-5)(x+7) a) What are the x-intercept(s)? b) What is the y-intercept? a =2. 4) [4 pts] Write the vertex form for the quadratic function f, whose vertex is (4, 9) and has leading coefficient