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Quadratic Transformations II MPM 2D1
Agenda Warm up – Guess Who? More Transformations Summary Frayer Models TOC
Guess Who Each half of the class will select: Judge Guesser Target
Transformations What will happen if you multiply a parabola by some factor a? What if the factor is less than 1? What if the factor is negative?
Summary Fill out the summary Will take up answers as a class
Frayer Models Topics y = x 2 +k y = (x-h) 2 y = ax 2 a>1 y = ax 2 a<1 y = -ax 2
Ticket out of Class State one transformation we have studied in the past two days in words and a general equation for it Homework: Pg. 178 Q # 1, 4abcd, 7, 8, 9, 14
2.1 Quadratic Functions Use the graphing calculator and graphy = x 2 y = 2x 2 y = The quadratic function f(x) = a(x – h) 2 + k is said to be in standard.
Parabola Conic section. Quadratic Functions The graph of a quadratic function is a parabola. If the parabola opens up, the lowest point is called the.
Holt Algebra Factoring ax 2 + bx + c 8-4 Factoring ax 2 + bx + c Holt Algebra 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz.
Warm-up Solve each equation. 1. k 2 = 812. b 2 = m 2 – 196 = 04. c = w 2 – 24 = p 2 = 4 k = ±9b = ±13 m = ±14c = 0 w = ±2.
Holt McDougal Algebra Using Transformations to Graph Quadratic Functions 5-1 Using Transformations to Graph Quadratic Functions Holt Algebra 2 Warm.
Quadratic Function has the form y=ax 2 +bx+c where a cannot be 0 and the graph is a “U-shaped” called a parabola. --ax 2 : quadratic term --bx:
Which number is in exponential form: -10,, 10 Identify the Base of that number What is the exponent in that number? - the number being multiplied.
A.A parabola is the graph of a quadratic function, which you can write in the form f(x) = ax² + bx + c, where a å 0. B.The vertex form of the quadratic.
FACTORING REVIEW EXAMPLES 1. Factor x 2 + 3x – 4Solve x 2 + 3x – 4 = 0 Graph Y 1 = x 2 + 3x – 4 Find x-intercepts What _____× _____ = – 4 and _____+ _____.
Goal: I can infer how the change in parameters transforms the graph. (F-BF.3) Unit 6 Quadratics Translating Graphs #2.
Factoring by Grouping. When you have 4 terms Remember– To factor out a GCF, we write the GCF on the outside and divide each term by the GCF. Ex) x 5 y.
Graphing Parabolas MPM 2D1. Agenda Warm up Properties of Parabolas Parabolas in our Lives Practical Applications TOC.
Graphical Transformations Vertical and Horizontal Translations Vertical and Horizontal Stretches and Shrinks.
TITLE RELIGION ITS FROM. NAME OF PRECEPT Selection of Relevant pictures WHY IT IS A GOOD RULE – What will happen if you don’t follow it?
Warm up Factor: 1. p p – a 2 – 12a – x 2 – 9x – 8.
X-box Factoring. Warm-Up Please complete these individually. 1. Fill in the following X-solve problems. a. b. c. 2. Write the general form of a quadratic.
Warm up #5: Factor Completely 1)y 2 + 7y +12 2)2x 2 + 7x + 3 3)3m 2 – m – 4 4)6t t + 7 5)5k 2 + k –18.
Solving Quadratic Equations by Completing the Square.
(p. 1) FRACTION PROBLEMS TYPE I “Find a fractional part of a quantity” The QUESTION contains a fraction Example: Find 2 / 3 of £36 TYPE II “Express one.
Special Factoring We saw previously that (x + 3)(x – 3) = x 2 – 9 This helps us to find a special rule for factoring: a 2 – b 2 = (a + b)(a – b) Ex. Factor.
Factoring Trinomials. Warm Up Multiply: 1. (x + 3)(x – 7) 2. (x – 6)(x + 5) 3. (x + 2)(x + 9) 4. (x – 4)(x – 6)
10-7 The Quadratic Formula. What Does The Formula Do ? The Quadratic formula allows you to find the roots of a quadratic equation (if they exist) even.
Writing Equivalent Forms of Quadratic Functions Adapted from Walch Education.
6.4 Factoring and Solving Polynomial Equations. Factor Polynomial Expressions In the previous lesson, you factored various polynomial expressions. Such.
Warm up – Solve by Taking Roots. Skills Check – Solve by Taking Roots.
Holt Algebra Completing the Square 9-8 Completing the Square Holt Algebra 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson.
Factoring Quadratic Equations Objective: To factor a quadratic expression and to use factoring to solve quadratic equations.
Warm-up. EOCT Review a)It would remain the same. b)It would increase by 3. c)It would decrease by 3. a Janet and Ed had the following scores: Janet's.
Today’s Objectives: Today’s Agenda SWBAT… Determine a quadratic function’s key features, including its vertex, from factored form Sketch the graph of a.
Interpreting the Model. e-Counter Plague How many people are in this class? How many people were initially infected? How many are sick at this stage?
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