Algebra: Wednesday’s Daily Inspiration Factor the following quadratic equations AND then identify the roots: 1.y = -2x 2 + 10x + 12 2.y = -x 2 + 8x – 16.

Slides:



Advertisements
Similar presentations
9/22 thru 9/26 Monday – Distributive Property – Slides 2 AND 3 Tuesday – Factor Linear Expressions – Slides 4 AND 5 Wednesday – Solutions of Equations.
Advertisements

Saturday May 02 PST 4 PM. Saturday May 02 PST 10:00 PM.
5-8 T HE QUADRATIC F ORMULA Chapter 5 Quadratic Functions and Equations ©Tentinger.
Many quadratic equations can not be solved by factoring. Other techniques are required to solve them. 7.1 – Completing the Square x 2 = 20 5x =
EXAMPLE 5 Model a dropped object with a quadratic function
Monday, 5/10Tuesday, 5/11Wednesday, 5/12Thursday, 5/13Friday, 5/14 Graphing & Properties of Quadratic Functions HW#1 Graphing & Properties of Quadratic.
Section 7.2 – The Quadratic Formula. The solutions to are The Quadratic Formula
Quadratic Equations and their Applications
5.5 Quadratic Equations Quizzes back TOMORROW…I hope…
Math Jeopardy Quad. Functions And Square Roots Graphing Quad. Equations Solving Quad. Equations Vertical Motion “Algebra – Chapter 9” Critical Values.
Projectile Motion. We are going to launch things, and then find out how they behave.
Bellwork Quarter 3 Week #3. Bellwork: Quarter 3 Week #3 Monday, January 19, 2015 Which list correctly matches the function? Show work to prove this: f(x)
Using square roots to solve quadratic equations. 2x² = 8 22 x² = 4 The opposite of squaring a number is taking its square root √ 4= ± 2.
Holt Algebra The Quadratic Formula and the Discriminant Warm Up (Add to HW & Pass Back Papers) Evaluate for x =–2, y = 3, and z = – x 2 2.
Chapter 10.7 Notes: Solve Quadratic Equations by the Quadratic Formula Goal: You will solve quadratic equations by using the Quadratic Formula.
4.8 Do Now: practice of 4.7 The area of a rectangle is 50. If the width is x and the length is x Solve for x by completing the square.
New Unit on Factoring, Quadratic Equations, & Quadratic Functions SWBAT… 1. Factor polynomials using the distributive property 2. Factor a trinomial in.
Holt Algebra Solving Quadratic Equations by Graphing and Factoring Solve quadratic equations by factoring. Find roots of quadratic equations. Graph.
ALGEBRA 1 SECTION 10.4 Use Square Roots to Solve Quadratic Equations Big Idea: Solve quadratic equations Essential Question: How do you solve a quadratic.
Holt Algebra Solving Quadratic Equations by Factoring Warm Up Find each product. 1. (x + 2)(x + 7)2. (x – 11)(x + 5) 3. (x – 10) 2 Factor each polynomial.
5.5 Quadratic Equations. Warm-up Factor fully. Solving by Factoring 1a) Solve.
Solve by factoring. x² = - 4 – 5x 2,. Solve by factoring. n² = -30 – 11n -4 and -1.
Objective I will use square roots to evaluate radical expressions and equations. Algebra.
Lesson 10-2 Solving Quadratic Equations by Graphing.
Algebra 2 cc Section 2.1 Solve quadratic equations by square roots A quadratic equation in standard form ax 2 + bx + c = 0 ax 2 is the quadratic term bx.
4.5 “Square Roots”. More Examples Rationalizing the Denominator.
Equations involving three terms constant, linear, and square Take square root, factor or use quadratic formula Quadratic Equations.
Section 1.3 Quadratic Equations 1. 2 OBJECTIVE 1 3.
Quadratic Applications Special Topics: Fall 2015.
CHAPTER 10 LESSON OBJECTIVES. Objectives 10.1 Students will be able to: Identify quadratic functions and determine whether they have a minimum or maximum.
ANSWERS!. Completing the Square Level 1 Answers Completing the Square Level 2 Answers.
Solving Quadratics Algebra 2 Chapter 3 Algebra 2 Chapter 3.
13.2 More on Solving Quadratic Equations. To Solve in the form ax² =k Divide both sides by a Take the square root of both sides Remember to use + Simplify.
13.2 More on Solving Quadratic Equations Goals: -To solve ax² =k --To solve by factoring into a binomial square -To solve using (x +a)² =k.
Comparison Problem The population of Clinton is 50,000 but is growing at 2500 people per year. Oak Valley has a population of 26,000 but is growing at.
Daily Math Review September 2-6, Monday Solve the following problems with strategies and/or algorithms 5, = 9, = 3, =
Factoring & Solving Quadratics Equations Intermediate Algebra Final Exam Review.
EXAMPLE 5 Model a dropped object with a quadratic function Science Competition For a science competition, students must design a container that prevents.
ALGEBRA 1 Lesson 9-7 Warm-Up. ALGEBRA 1 “Using the Quadratic Formula” (9-7) What is the “quadratic formula”? When and how do you use the quadratic formula?
 Given a quadratic equation in standard form, the value of x can be found by using the quadratic formula:
Factoring to Solve Quadratic Equations – Solving Quadratic Equations by Factoring A quadratic equation is written in the Standard Form, where a,
NOTES 0-5C QUADRATIC FORMULA Student Learning Goals: Students will be able to solve quadratic equations using the quadratic formula.
Factor the expression z2 − y x2 − x2 + 28xy + 4y2
Name:__________ warm-up 9-2
Quadratic and Square Root Inverse Relationships with Restrictions
Quadratic Word Problems
Solving by factoring & taking square roots
Solving Quadratic Equations by the Complete the Square Method
Notes Over 9.6 Quadratic Formula
Chapter 4: Quadratic Functions and Equations
Unit 6 Part 2 Test Review Algebra 1.
Using the Quadratic Formula
The Quadratic Formula.
Real World Questions with Parabolas
Solving Quadratic equations by graphing.
Unit 12 Review.
9-4 Quadratic Equations and Projectiles
Review.
Parent Functions.
Review.
Parent Functions.
Quadratic Equations.
Notes Over 9.5 Quadratic Formula
Completing the Square Algebra Review.
Review.
Solving Quadratic Equations by Finding Square Roots
Solving Example 2D Math.
3.3 Completing the Square.
Warmup Graph the following quadratic equation using the table provided. Then analyze the graph for the information listed below. y = -3x2 + 12x.
Unit 1 Review.
Presentation transcript:

Algebra: Wednesday’s Daily Inspiration Factor the following quadratic equations AND then identify the roots: 1.y = -2x x y = -x 2 + 8x – 16

Algebra: Thursday’s Daily Inspiration y = -13x x – 234 X = time in seconds, when the fuse is lit Y = height of the rocket in feet What is the time in seconds when the rocket hits the ground? What is the highest height that the rocket reaches? When does it reach this height? What is the domain that is important for the launch and landing? What is the range that is important to the launch and landing of the rocket?

Algebra: Friday’s Daily Inspiration y = -9x x – 198 X = time in seconds, when the fuse is lit Y = height of the rocket in feet What is the time in seconds when the rocket hits the ground? What is the highest height that the rocket reaches? When does it reach this height? What is the domain that is important for the launch and landing? What is the range that is important to the launch and landing of the rocket?

Algebra: Monday’s Daily Inspiration 1.Question: What are considered solutions in a quadratic function? Find the solutions to the following quadratic functions: 2. y = 3x 2 – 12x – y = -x 2 + 6x – 9

Algebra: Tuesday’s Daily Inspiration Question: Find the solutions to the following quadratic functions. 1. Complete the Square: y = -2x 2 + 8x – 2 2. Any method: y = -3x 2 + 9x + 54

Algebra: Wednesday’s Daily Inspiration Question: Find the solutions to the following quadratic functions. 1. Complete the Square: y = 4x 2 + 4x – Quadratic Formula: y = 2x 2 – 5x – 3