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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
Topic 1Topic 2Topic 3Topic 4Topic
11/06/ Factorizing Quadratic Equations. 11/06/ x 2 ± bx ± c x 2 ± bx ± c If this is positive, both signs are the same. The numbers ADD to.
Graphing Quadratic Equations Standard Form & Vertex Form.
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.
Ch 6 - Graphing Day 1 - Section 6.1. Quadratics and Absolute Values parent function: y = x 2 y = a(x - h) 2 + k vertex (h, k) a describes the steepness.
Holt Algebra Factoring ax 2 + bx + c Warm Up Find each product. 1. (x – 2)(2x + 7) 2. (3y + 4)(2y + 9) 3. (3n – 5)(n – 7) Find each binomial factor.
Holt McDougal Algebra Factoring ax 2 + bx + c 7-4 Factoring ax 2 + bx + c Holt Algebra 1 Warm Up Warm Up Lesson Presentation Lesson Presentation.
5-3 Using Transformations to Graph Quadratic Functions.
Multiplying Integers. Warm Up 1.9 x 3 =5. 6 x 9 = 2.7 x 10 =6. 10 x 23 = 3.9 x 8 =7. 9 x 9 = 4.15 x 10 =8. 10 x 20 =
Unit 5 Review: Quadratics and Beyond Honors Analysis.
Shifting the Standard Parabola. Graphs of Quadratic Functions If a is positive, then our parabola opens up. If a is negative, then our parabola opens.
What are quadratic equations, and how can we solve them? Do Now: (To turn in) What do you know about quadratic equations? Have you worked with them before?
Holt Algebra Factoring x 2 + bx + c Warm Up 1. Which pair of factors of 8 has a sum of 9? 2. Which pair of factors of 30 has a sum of –17? Multiply.
QUADRATIC EQUATIONS in VERTEX FORM y = a(b(x – h)) 2 + k.
Transformations of graphs Summary of the four types of transformation.
A method for breaking up a quadratic equation in the form ax 2 + bx + c into factors (expressions which multiply to give you the original trinomial).
Warm Up Important Properties: 1.The graph will open up if ‘a’ ___ 0 and down if ‘a’ ___ 0 3.The vertex formula for: vertex format is: standard format is:
© T Madas. Fill in this negative multiplication table. [the numbers multiplied are all whole negative & positive numbers]
5.3 Discriminant and 5.4Find ABC Discriminant: b 2 – 4ac A, B, C ax 2 + bx + c = 0.
Lesson 9-2 Graphing y = ax + bx + c Objective: To graph equations of the form f(x) = ax + bx + c and interpret these graphs. 2 2.
Summary of 2.1 y = -x 2 graph of y = x 2 is reflected in the x- axis Note: Negative in front of x 2 makes parabola “frown”. y = (-x) 2 graph of y = x 2.
Dividing Decimals TeacherTwins©2014. Warm Up
Warm Up Factor out the GCF 1.-5x x x 3 +4x Factor 3. 4.
WARM UP WHAT TO EXPECT FOR THE REST OF THE YEAR 4 May The Discriminant May 29 Chapter Review May 30 Review May 31 Chapter 9 Test June Adding.
Chapter section Topic: quadratic equations Vocabulary: Negative times positive is negative -3 x 2 = -6 Negative times negative is positive -3 x -2.
Notes Over 2.8 Rules for Dividing Negative Numbers. ( Same as Multiplying ) If there is an even number of negative numbers, then the answer is Positive.
Essential Question: How do you graph a quadratic function in vertex and intercept form? Students will write a summary on the steps to graphing quadratic.
TAKS Blitz Competition Quadratic Functions. The Parabola.
1 Properties of Quadratic Function Graphs Algebra Unit 11.
Copy in Agenda and add to TOC: –#5 Finding Slope and Y-intercept Given Slope Intercept Form.
5.4 – Completing the Square Objectives: Use completing the square to solve a quadratic equation. Use the vertex form of a quadratic function to locate.
Warm Up Find five points and use them to graph Hint, use an x-y table to help you.
What are you finding when you solve the quadratic formula? Where the graph crosses the x-axis Also known as: Zeros, Roots and X-intercepts.
GOAL: FACTOR TRINOMIALS OF THE FORM AX 2 + BX + C Section 5-4: Factoring ax 2 + bx + c.
WARM UP What is the x-coordinate of the vertex? 1.y = -2x 2 + 8x – 5 2.y = x 2 + 3x -2 4.
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:
10.1 Quadratic GRAPHS! – Quadratic Graphs Goals / “I can…” Graph quadratic functions of the form y = ax Graph quadratic functions of the form.
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.
Warm Up. Daily Check Give the transformations for each of the following functions: 1)f(x) = (x - 2) )f(x) = -3x 2 3)f(x) = ½ (x+3) 2.
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.
Quadratic Equations A quadratic is any expression of the form ax 2 + bx + c, a ≠ 0. You have already multiplied out pairs of brackets and factorised quadratic.
Daily Check Give the transformations for each of the following functions? 1)f(x) = (x - 2) )f(x) = -3x 2 3)f(x) = ½ (x+3) 2 Write the equation in.
Holt McDougal Algebra 1 Factoring x 2 + bx + c Holt Algebra 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz Holt McDougal.
X x y x x y 0 1/2 2 9/2 4 25/2 18 x x y
Warm-up Answers:. Homework Answers: P3 (55-58 all, all, odds, all) /1690.
If you take any shape, you can transform it: SQUARE STRETCH IT COMPRESS IT TRIANGLE STRETCH IT COMPRESS IT.
REVIEW FOR QUIZ 3 ALGEBRA II. QUESTION 1 FACTOR THE FOLLOWING QUADRATIC 3N 2 + 7N + 4 Answer: (3n + 4)(n + 1)
Multiplying Rational Numbers Essential Question: How do you multiply rational numbers? Unit 1-4.
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