WHAT DOES IT MEAN TO SOLVE QUADRATIC FUNCTIONS? WHAT ARE ALL OF THE…

Slides:

Advertisements

Similar presentations

Quadratic Application

Advertisements

EXAMPLE 5 Solve a vertical motion problem Juggling

Warm Up Find the x-intercept of each function. 1. f(x) = –3x + 9

Day 4 What number inserted into the following expression would complete the square?

Solving quadratic equations Factorisation Type 1: No constant term Solve x 2 – 6x = 0 x (x – 6) = 0 x = 0 or x – 6 = 0 Solutions: x = 0 or x = 6 Graph.

Section 7.2 – The Quadratic Formula. The solutions to are The Quadratic Formula

Quadratic Equations and their Applications

Objectives Solve quadratic equations by graphing or factoring.

Chapter 5 Quadratic Functions Review. Question 1a Identify the vertex, the axis of symmetry, create a table, then graph. y = x² - 8x + 5.

Solving Quadratic Equations by Using the Quadratic Formula

The Height Equation. h= ending height g = gravity constant (32 if feet, 9.8 if meters) v 0 = initial velocity h 0 = initial height t = time.

Projectile Motion. We are going to launch things, and then find out how they behave.

Miss Battaglia AP Calculus AB/BC. Definition of Antiderivative A function F is an antiderivative of f on an interval I if F’(x)=f(x) for all x in I. Representation.

Solving Inequalities Algebraically Section P.6 – the last section of the chapter!!!

Solving Quadratics. Methods for Solving Quadratics Graphing Factoring Square Root Method Completing the Square Quadratic Formula.

Chapter 10.7 Notes: Solve Quadratic Equations by the Quadratic Formula Goal: You will solve quadratic equations by using the Quadratic Formula.

Section 2.6 Quadratic Functions. y = x 2 How many real zeros does it have? How many real zeros can a quadratic function have?

Learning Task/Big Idea: Students will learn how to find roots(x-intercepts) of a quadratic function and use the roots to graph the parabola.

SECTION 3.4 POLYNOMIAL AND RATIONAL INEQUALITIES POLYNOMIAL AND RATIONAL INEQUALITIES.

Using the Quadratic Formula Section 3.4 beginning on page 122.

Holt Algebra Solving Quadratic Equations by Graphing and Factoring Solve quadratic equations by factoring. Find roots of quadratic equations. Graph.

Table of Contents Solving Quadratic Equations – Quadratic Formula The following shows how to solve quadratic equations using the Quadratic Formula. A quadratic.

The Quadratic Formula Chapter 8.6. The Quadratic Formula If, then.

Quadratics Review y = x 2. Quadratics Review This graph opens upwards y = x 2.

Solving a Trigonometric Equation Find the general solution of the equation.

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.

Pre-Calculus 2.1 Quadratic Functions. Definition Quadratic Function-If f is a polynomial function and r 1 is a real number, the following statements are.

Gravity, Technology, Quadratic Like Equations. An object near the surface of earth is under the influence of gravity We can model this by using a quadratic.

Real Life Quadratic Equations Maximization Problems Optimization Problems Module 10 Lesson 4:

Section 10.6 Solve Any Quadratic Equation by using the Quadratic Formula.

Notes Over 5.6 Quadratic Formula

The Quadratic Formula. y = ax 2 + bx + c (Standard Form) * To apply the formula, you must write the equation in standard form first! x 2 +5x = 14 (not.

Objectives: Use the quadratic formula to solve a quadratic equation Use quadratic models for real-life situations.

Bonus! Multiplying Binomials Factoring Solving By Factoring.

EXAMPLE 5 Solve a vertical motion problem A juggler tosses a ball into the air. The ball leaves the juggler’s hand 4 feet above the ground and has an initial.

Preparation for Calculus P. Fitting Models to Data P.4.

In the quadratic function x 2 – 2x + c = 0, c represents an unknown constant. If x = -6 is one of the solutions, what is the other solution?

 Given a quadratic equation in standard form, the value of x can be found by using the quadratic formula:

Calculating g: Part II Dropping Pumpkins from the Stadium! Review: Freefall Lab: Calculating g Wrapping Up…

Algebra Solving Quadratic Equations by the Quadratic Formula.

Lesson 9.5 Objective: To solve quadratic equations using the quadratic formula. Quadratic formula: When Then the value of x is… What formula can be used.

SOLVE QUADRATIC EQUATIONS BY GRAPHING. 5.2 Solving Quadratic Equations by Graphing.

CONSTANT ACCELERATION KINEMATIC EQUATIONS - one-dimensional motion thus vector notation is not required but you still must set up a direction system -

NOTES 0-5C QUADRATIC FORMULA Student Learning Goals: Students will be able to solve quadratic equations using the quadratic formula.

Name:__________ warm-up 9-2

Chapter 4: Quadratic Functions and Equations

Solving Inequalities Algebraically

Quadratic Word Problems

Solving by factoring & taking square roots

Algebra 2 Test 1 Review Trivia

How can you derive a general formula for solving a quadratic equation?

Module 9: Lesson 9.2 Solving Equations by Completing the Square

6.2 Solving Quadratic Equations by Graphing

Unit 6 Part 2 Test Review Algebra 1.

5-1 Solving Quadratic Equations by Graphing and Factoring SWBAT

Using the Quadratic Formula

Choosing the Appropriate Method

1.5 – Projectile Motion (pg )

Section 6.1 Slope Fields.

Lesson 8-10 Nonlinear Systems

Solving Quadratic equations by graphing.

The Quadratic Formula.

Solve by Graphing Solve by Factoring Complex Numbers Solve by

and Indefinite Integration (Part II)

1.5 – Projectile Motion (pg )

Bouncing Ball Physics – Velocity / Acceleration / Displacement

LEARNING GOALS - LESSON 5.3 – DAY 1

#2 Grade Name:_________________ Hour: ________

1.) What is the value of the discriminant?

Presentation transcript:

WHAT DOES IT MEAN TO SOLVE QUADRATIC FUNCTIONS? WHAT ARE ALL OF THE…

WHAT ARE SOME WAYS TO NAME THE SOLUTIONS OF A QUADRATIC FUNCTION? These all mean the same thing when solving quadratics…KNOW THIS!!!

CAN WE USE A TABLE OF VALUES TO SOLVE QUADRATIC FUNCTIONS? x y

CAN WE SOLVE QUADRATIC FUNCTIONS FROM A GRAPH?

CAN WE SOLVE QUADRATIC FUNCTIONS BY FACTORING?

CAN WE SOLVE QUADRATIC FUNCTIONS BY USING THE QUADRATIC FORMULA?

APPLICATION Constant due to Earth’s gravity Initial velocityInitial height

A golf ball is hit from the ground with an initial velocity of 80 ft/sec. After how many seconds will the ball hit the ground?