PC20 Lab 3B (2020)
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Walter Murray Collegiate**We aren't endorsed by this school
Course
MATH 12
Subject
Mathematics
Date
Dec 28, 2024
Pages
3
Uploaded by AgentMusicDinosaur33
1Pre Calculus 20 | Unit 3 | Lab 3B Unit 3 β Quadratic Functions β Lab 3B Completing the Square Name: __________________________________________ First steps to complete the square: 1) make sure the quadratic is in standard form 2) group the first 2 terms, and factor out the leading coefficient if aβ 1 3) continue with the processβ¦ 1) For the following, complete the square to rewrite the quadratic equations into vertex graphing form AND provide the coordinates of the vertex (10 marks)a. π¦π¦=π₯π₯2β8π₯π₯+ 13b. π¦π¦=β3π₯π₯2β24π₯π₯ β19Directions: Show all your work to receive full marks for each question. Read the directions carefully and provide all the diagrams, formulas, units and any other information that is required.
2Pre Calculus 20 | Unit 3 | Lab 3B c. π¦π¦=12π₯π₯2β π₯π₯+ 3d. π¦π¦= (2π₯π₯ β1)(π₯π₯+ 1)
3Pre Calculus 20 | Unit 3 | Lab 3B 2) For the quadratic function π¦π¦=β3π₯π₯2+ 15π₯π₯ β21, calculate the maximum or minimum value by rewriting the function into vertex-graphing form and also state the domain and range. (4 marks) 3) Write the function to represent the area of a rectangle that has dimensions of (x + 3) and (8 β3x). Use completing the square to find the vertex. What information does the vertex tell us in this situation? State the domain and range, what would the restrictions be? (4 marks)