9.5 Solving Quadratic Equations by Graphing Ms. Wu.
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Transcript of 9.5 Solving Quadratic Equations by Graphing Ms. Wu.
9.5 Solving Quadratic Equations by GraphingMs. Wu
Warm-Up
• Place a sticky note on any three posters…• RED – need most help• YELLOW – need some help• GREEN – good to go!
Objectives
• Warm-Up (5 min.)• Reminder 101 (3 min.)• Review (10 min.)• Quiz, Evaluation, Folder Organization ( 27 min.)
• Introduction (5 min.)• 9.5 Workshop (20 min.)• In-Class Assignment (20 min.)
Remind 101 – 3rd
Remind 101 – 4th
Review Vertex (2, -1)
y-int (0, 3)
Axis of Symmetry x = 2Domain: all real numbers
Range: y ≥ -1
Minimum
Opens UP
Zeros: 1 and 3
Review
For the parent function, y = x2, what is the transformed function that is ____________?
• 7 units up: y = x2 + 7• 2 times wider: y = ½x2 • 1/3 times narrower and down 1 unit: y = 3x2 – 1
Review
For the function, y = x2+2x-1, what is the ________?
• Axis of symmetry? x =• Vertex: (-1, -2)• Does it open up or down? UP• Is it a maximum or minimum? MINIMUM• y-intercept: (0, -1)• Domain: all real numbers• Range: y ≥ -1
Quiz -> Evaluation - > Organization -> Lunch
• Notes• 9.1• 9.2• 9.3• 9.4
• Roller Coaster• 1st Blueprint• 2nd Blueprint
• Homework• 9.1• 9.2• 9.3• 9.4
• In-Class Assignments• 9.2 Exploration
(Axis of Symmetry)
• 9.4 Transformers Exploration
Is your folder ready for an organization grade??
Everything must be completed…folders will be picked up for a grade
next class period!!
Announcement
• Go to Ms. Wu’s website: annwustudentteaching.webs.com• Go to the tab “For Students (3rd & 7th)”
• New Format:• Homework: Watch videos, take notes• In-Class: Work on assignment, get help, quiz
Solving Quadratic Equations by Graphing
• A quadratic function is a function that can be written in the standard form y = ax2+bx+c.
• A quadratic equation is an equation that can be written in the standard form 0 = ax2+bx+c.
• When writing a quadratic function as its related quadratic equation you replace y with 0. Then, you solve the equation by finding its zero(s) or roots or x-int.
Ms. Wu’s hint: Remember to move everything to one side until you have everything equal to 0!• Examples:• 1. x2-8x-16=2x2 -x2-8x-16 = 0 zero: -4
• 2. 6x+10=-x2 x2+6x+10=0 zero: none
• 3. –x2+4 = 0 zeros: -2, 2
Parabolic Solar Ovens
• Video: Parabolic Solar Ovens in Coast Rica• Video: How to Cook Food Using Solar Ovens
Joseph is trying to build a solar oven in his backyard to cut down on the cost of electricity. He did some research and found that the sun’s rays are best captured by the quadratic function y = x2 -8x+12.
Question: Joseph needs to buy a parabolic mirror at Lowe’s, how wide should the diameter of the mirror be?
Mirror needs to be 4 feet in diameter.
In-Class & Homework
• Complete the evens on 9-5. Turn in by the end of class.• Homework: complete notes on how to
FOIL and FACTOR. Watch videos online. Organize folder!!