Assignments For Algebra 1 Unit 9 Quadratics, Part 1

3y ago
26 Views
3 Downloads
1.96 MB
12 Pages
Last View : 23d ago
Last Download : 2m ago
Upload by : Gannon Casey
Transcription

Name:Assignments for Algebra 1Unit 9 Quadratics, Part 1Day 1, Quadratic Transformations: p.1-2Day 2, Vertex Form of Quadratics: p. 3Day 3, Solving Quadratics: p. 4-5Day 4, No Homework (be sure you’re caught up)Day 5, Moving Words Worksheet: p. 6Day 6, Practice Quiz: p. 7-8Day 7, Quadratics Graphs: p. 9Day 8, Using Vertex Form: p.10Day 10, Vertex Form: p. 110

Quadratic Function Day 1 HWNameTransformations WSDate PerFor each of the following quadratic functions: 1) graph, 2) give the domain and range, and 3) describe thetransformations.1. 𝑦 (𝑥 4)22. 𝑦 (𝑥 2)2 sformations3. 𝑓(𝑥) 3(𝑥 1)2 64 𝑓(𝑥) 1/3(𝑥 3)2 tionsRe-write the new equations for the quadratic functions after the given transformations5. Translate the graph of 𝑓(𝑥) 𝑥2 four units to the right,6. Translate the graph of 𝑓(𝑥) (x 3)2 – 4, seven units totwo units up and reflect vertically. What is the newthe right, two units down and vertically compress by aequation?factor of 1/4. What is the new equation?7. Given the graph:8. Given the graph:Translate to the left 2, up 4, and stretch vertically by afactor of 5. What is the new equation?Translate to the right 3, down 6, and reflect. What isthe new equation?1

Given the graph of a ball being thrown from a catapult, answer the following questions. The vertical axisrepresents the height of the ball, the horizontal axis represents the distance from the catapult.9. How far away from the catapult does the ball land? What part of the graph tells you this?10. What is the maximum height the ball goes? What part of the graph tells you this?11. Is the value of “a” positive or negative? How do you know?12. Is the value of “ a ” greater than 1 or less than 1? How do you know?13. Determine an approximate equation for this quadratic function. How did you determine the a, h, and k values?2

Homework Day 2NameDate PerVertex Form of Quadratic EquationsFactor the following polynomials.1. 3𝑥 2 18𝑥 272. 3𝑥 3 75𝑥4. 5𝑥 2 20𝑥 105. 6𝑥 2 𝑥 153. 𝑥 2 2𝑥 246. 4𝑥 2 10𝑥 24Predict the line of symmetry, vertex, and number of zeros. Graph to verify7. 𝑓(𝑥) 𝑥 2 98. 𝑓(𝑥) 𝑥 2 59. 𝑓(𝑥) (𝑥 1)2 410. 𝑓(𝑥) (𝑥 1)2 23

Solving Quadratic Equations Day 3WorksheetNameDatePeriod:Part 1: Determine the number of solutions – think graphs and transformations!No Real Solutionsa.(𝑎 5)2 25b.(𝑛 5)2 25c.(𝑧 5)2 25d.(𝑥 5)2 0e.16 (𝑙 5)2 25f.(𝑓 1)2 (𝑓 2)2g.5𝑏 2 5𝑏 2 1Exactly1 Real SolutionExactly2 Real SolutionsUse these graphs if you need them 4

Part 2: Solving Quadratic Equations graphicallySolve the following absolute value equations graphically1. (𝑥 2)2 3 42. (𝑥 1)2 2 23. (𝑥 3)2 6 2𝑓(𝑥) 𝑓(𝑥) 𝑓(𝑥) 𝑔(𝑥) 𝑔(𝑥) 𝑔(𝑥) The solution(s):4.𝑥2 2 𝑥The solution(s):5.(𝑥 1)2 4 𝑥 3The solution(s):6. (𝑥 2)2 3 (𝑥 4)2 3𝑓(𝑥) 𝑓(𝑥) 𝑓(𝑥) 𝑔(𝑥) 𝑔(𝑥) 𝑔(𝑥) The solution(s):The solution(s):The solution(s):5

6

Algebra 1Chapter 10 PRACTICE QuizNameDate Period RowWrite the equation of the quadratic functions : y a(x-h) 2 k1.2.Graph the following quadratic functions, give the domain and range, and identify the vertex, zeros,axis of symmetry, and y-intercept.3. 𝑦 (𝑥 1)2 34. 𝑦 3(𝑥 4)2 5Domain:Domain:Range:Range:Vertex:Vertex:Axis ofAxis of Symmetry:Symmetry:Real Zeros:Real Zeros:y-intercept:y-intercept:Write new quadratic functions after the given transformations5. Given the graph of 𝑦 𝑥2, what is the new vertex of 6. Given the graph of 𝑦 𝑥2, what are the new zerosthe function after the transformation down 5 unitsof the function after the transformation down oneand to the left three units?unit and to the right one unit?7

Solve the following quadratic equations using graphs7. (𝑥 2)2 3 48. 𝑥 2 3 2𝑥7. (𝑥 1)2 3 18. (𝑥 1)2 (𝑥 3)2Use the graph below to answer the following questionsMr. Rhodes’ class is holding an egg launching contest on the football field. Teams of students have builtcatapults that will hurl an egg down the field. Below is the graph and equation for one teams egg launch.Use the information given to answer the following questions.11. What is the vertex? Explain howyou know this.ℎ(𝑥) 1.348(𝑥 19.042)2 86.65412. How high did their egg go? Explainhow you know this.13. How far did their egg travel?Explain how you know this.14. How far away from the goal linedid hey set up their catapult? Explainhow you know this.Solve:15. 4𝑥 2 100118. 2 (𝑥 2)2 3 1716. 3𝑥 2 5 1617. (𝑥 3)2 4919. (𝑥 1)2 3 820. (𝑥 1)2 11 88

9

Solving Using Vertex Form Day 8NameDatePeriod:10

Algebra 1 Day 9 HW #45Vertex Form: Quadratic FunctionsNameDatePeriod:1) Solve the quadratic equations. Leave your answers in simplified radical form.2a. 3d2 – 150 282b. w 2 - 4 123c. (𝑥 2)2 3 10d. 3(x – 2)2 752) Find the vertex, y-intercept and x-intercepts (zeros) of functions.a. 𝑓(𝑥) (𝑥 1)2 4b. 𝑓(𝑥) 𝑥 2 25c. 𝑓(𝑥) 2(𝑥 2)2 18d. 𝑓(𝑥) .5(𝑥 3)2 23) Before a truck can drive through a tunnel, it must be determined if the load can fit safely through thetunnel. The parabola models ℎ(𝑡) .5(𝑡 5) 12.5 the maximum space that a vehicle has to fitthrough the tunnel. If a truckload is 9 feet high what is the maximum width it could be?4) Sarah is a cliff diver standing on the top of a cliff with a height of 50 feet. When she dives off, she is at aheight of 30 feet after 2 seconds. Determine the quadratic function, 𝑓(𝑥) 𝑎(𝑥 ℎ)2 𝑘 , that would modelSarah’s height t seconds after she jumps off the diving board. (hint: The vertex is where she is diving off thecliff and you need to determine the value of “a” using the other information in the problem)11

Write the equation of the quadratic functions : y a(x-h) 2 k 1. 2. Graph the following quadratic functions, give the domain and range, and identify the vertex, zeros, axis of symmetry, and y-intercept. 3. ( 1)2 3 2 4. 3( 4) 5 y Write new quadratic functions after the given transformations 5.

Related Documents:

Bruksanvisning för bilstereo . Bruksanvisning for bilstereo . Instrukcja obsługi samochodowego odtwarzacza stereo . Operating Instructions for Car Stereo . 610-104 . SV . Bruksanvisning i original

Robert Gerver, Ph.D. North Shore High School 450 Glen Cove Avenue Glen Head, NY 11545 gerverr@northshoreschools.org Rob has been teaching at . Algebra 1 Financial Algebra Geometry Algebra 2 Algebra 1 Geometry Financial Algebra Algebra 2 Algebra 1 Geometry Algebra 2 Financial Algebra ! Concurrently with Geometry, Algebra 2, or Precalculus

10 tips och tricks för att lyckas med ert sap-projekt 20 SAPSANYTT 2/2015 De flesta projektledare känner säkert till Cobb’s paradox. Martin Cobb verkade som CIO för sekretariatet för Treasury Board of Canada 1995 då han ställde frågan

service i Norge och Finland drivs inom ramen för ett enskilt företag (NRK. 1 och Yleisradio), fin ns det i Sverige tre: Ett för tv (Sveriges Television , SVT ), ett för radio (Sveriges Radio , SR ) och ett för utbildnings program (Sveriges Utbildningsradio, UR, vilket till följd av sin begränsade storlek inte återfinns bland de 25 största

Hotell För hotell anges de tre klasserna A/B, C och D. Det betyder att den "normala" standarden C är acceptabel men att motiven för en högre standard är starka. Ljudklass C motsvarar de tidigare normkraven för hotell, ljudklass A/B motsvarar kraven för moderna hotell med hög standard och ljudklass D kan användas vid

LÄS NOGGRANT FÖLJANDE VILLKOR FÖR APPLE DEVELOPER PROGRAM LICENCE . Apple Developer Program License Agreement Syfte Du vill använda Apple-mjukvara (enligt definitionen nedan) för att utveckla en eller flera Applikationer (enligt definitionen nedan) för Apple-märkta produkter. . Applikationer som utvecklas för iOS-produkter, Apple .

Algebra 1 (Unit 4, Lesson 10) Lesson 10: Elevator Stories Digital Algebra 1 (Unit 4, Lesson 11) Lesson 11: Marbleslides Digital Lesson 12: Graduation Graphs Digital Algebra 1 (Unit 4, Lesson 11) Practice Day 1 Paper Algebra 1 (Unit 4, Lessons 1-11) Quiz 2 Digital or Paper Lesson 13: Pumpkin Prices Digital Algebra 1 (Unit 4, Lesson 12)

So you can help us find X Teacher/Class Room Pre-Algebra C-20 Mrs. Hernandez Pre-Algebra C-14 . Kalscheur Accelerated Math C-15 Mrs. Khan Honors Algebra 2 Honors Geometry A-21 Mrs. King Math 7 Algebra 1 Honors Algebra 1 C-19 Mrs. Looft Honors Algebra C-16 Mr. Marsh Algebra 1 Honors Geometry A-24 Mrs. Powers Honors Pre-Algebra C-18 Mr. Sellaro .