4.10: Write Quadratic Functions and Models HW: p.312 – 313 (4, 12, 18, 22, 28, 34) Test 4.7-4.10: Wednesday.

Slides:



Advertisements
Similar presentations
7-5 solving quadratic equations
Advertisements

Mathematical Studies for the IB Diploma Second Edition © Hodder & Stoughton Ltd The quadratic function.
5.1 GRAPHING QUADRATIC FUNCTIONS I can graph quadratic functions in standard form. I can graph quadratic functions in vertex form. I can graph quadratic.
4.2 – Graph Quadratic Functions in Vertex or Intercept Form Standard Form: y = ax 2 + bx + c Vertex Form: y = a(x – h) 2 + k.
Intercept, Standard, and Vertex Form
How do I write quadratic functions and models? 7.2 Write Quadratic Functions and Models Example 1 Write a quadratic function in vertex form Write a quadratic.
Quadratic Functions Review / Warm up. f(x) = ax^2 + bx + c. In this form when: a>0 graph opens up a 0 Graph has 2 x-intercepts.
Solving Quadratic Equations by Graphing
Graphing Quadratic Functions
Write a quadratic function in vertex form
6.5 – Solving Equations with Quadratic Techniques.
The General Quadratic Function Students will be able to graph functions defined by the general quadratic equation.
EXAMPLE 1 Write a quadratic function in vertex form Write a quadratic function for the parabola shown. SOLUTION Use vertex form because the vertex is given.
Solving Quadratic Equations
Factor and Solve: 1.x² - 6x – 27 = 0 2.4x² - 1 = 0 Convert to Vertex Format by Completing the Square (hint: kids at the store) 3. Y = 3x² - 12x + 20.
 What are the three forms a quadratic equation can be written in? Vertex Standard Factored.
Quadratics Solving equations Using “Completing the Square”
Solving quadratic equations by graphing. X Y I x² - 2x = 3 You have to rewrite the equation to find the vertex before you can graph this function Use.
Graphing Quadratic Equations Standard Form & Vertex Form.
Graphing Quadratic Equations
Solving Quadratic Equations
Section 4.7 – The Quadratic Formula Students will be able to: To solve equations using the Quadratic Formula To determine the number of solutions by using.
Fireworks – Vertex Form of a Quadratic Equation
Roots, Zeroes, and Solutions For Quadratics Day 2.
11-2 Solving Quadratic Equations By Graphing
Graphs of Quadratic Functions Graph the function. Compare the graph with the graph of Example 1.
Algebra II Elements 5.2: Graph quadratic function in vertex or intercept form HW: p.232 (36-48 even) Tomorrow: projects are due, midterm review.
REVIEW FOR QUIZ 3 ALGEBRA II. QUESTION 1 FACTOR THE FOLLOWING QUADRATIC 3N 2 + 7N + 4 Answer: (3n + 4)(n + 1)
Mathematical Studies for the IB Diploma © Hodder Education The quadratic function.
7.2 Write Quadratic Functions and Models 7.2 HW Quiz: Sept. 15 (Wednesday) Quiz: Sept. 17 (Friday) 7.1,7.2,7.7 Test: Sept. 22 (Wednesday)
Section 8.7 More About Quadratic Function Graphs  Completing the Square  Finding Intercepts 8.71.
Graphing Quadratics in Vertex and Intercept Form Vertex Form y = a(x – h) 2 + k Intercept Form y = a(x – p)(x – q)
5.8 Modeling with Quadratic Functions p. 306 What is the vertex form of a quadratic equation? Intercept form? How many points on a graph do you need to.
5.8 Modeling with Quadratic Functions
Bellwork: Homework Check Algebra II.
5.8: Modeling with Quadratic Functions Objectives: Students will be able to… Write a quadratic function from its graph given a point and the vertex Write.
Section 3.1 Day 2 – Quadratic Functions After this section you should be able to: Graph a quadratic function with and without a calculator. Find the coordinates.
Chapter 4 Section 10. EXAMPLE 1 Write a quadratic function in vertex form Write a quadratic function for the parabola shown. SOLUTION Use vertex form.
Graphing and Solving Quadratic Inequalities CHAPTER 5 LESSON 8.
Graphing Quadratic Functions Quadratic functions have the form: y = ax 2 + bx + c When we graph them, they make a parabola!
Write a quadratic function in vertex form
Do Now Find the value of y when x = -1, 0, and 2. y = x2 + 3x – 2
Investigating Characteristics of Quadratic Functions
Algebra I Section 9.3 Graph Quadratic Functions
4.2 Graph Quadratic Functions in Vertex or Intercept Form
Creating and Graphing Equations Using Vertex Form
Graphing Quadratics in Standard Form
Use back - substitution to solve the triangular system. {image}
parabola up down vertex Graph Quadratic Equations axis of symmetry
E) Quadratic Formula & Discriminant
9.2 Graphing Quadratic Functions
4.10 Write Quadratic Functions and Models
Notes 5.4 (Day 3) Factoring ax2 + bx + c.
Objective Solve quadratic equations by graphing.
Standard Form of the quadratic equation: f(x) = ax2 + bx + c
Review: Simplify.
Quadratics Lesson 2 Objective: Vertex Form of a Quadratic.
Before: March 16, y = x² + 4x y = 3x² + 2
Graphing Quadratic Functions
Bellwork: 2/23/15 1. Graph y = x2 + 4x + 3.
Solve Quadratics by Graphing ax2 +bx + c
Section 10.2 “Graph y = ax² + bx + c”
Graphing Quadratic Equations
5.2.2 – Intercept Form.
Quadratic Functions Graphs
Warm Up Find the following: Vertex A.O.S. Y-intercept X-intercept.
Writing Quadratic Functions in Intercept Form
5.8 Modeling with Quadratic Functions
Write Quadratic Functions and Models
Quadratic Functions and Equations Lesson 1: Graphing Quadratic Functions.
Presentation transcript:

4.10: Write Quadratic Functions and Models HW: p.312 – 313 (4, 12, 18, 22, 28, 34) Test : Wednesday

Write a quadratic function whose graph has the given characteristics. 1.) Vertex: (1, -2) and passes through: (3, 2). Vertex form: y = a(x – h) 2 + k ; plug in values to find a, then write the equation.

Write a quadratic function whose graph has the given characteristics. 2.) Vertex: (4, -5) and passes through: (2, -1).

Write a quadratic function whose graph has the given characteristics. 3.) x-intercepts: -1 and 4 and passes through: (3, 2). Intercept form: y = a(x – p)(x – q) ; plug in values to find a, then write the equation.

Write a quadratic function whose graph has the given characteristics. 4.) x-intercepts: -2 and 5 and passes through (6, 2).

Write a quadratic function whose graph has the given characteristics. 5.) Passes through: (-1, -3), (0, -4), (2, 6). Using Standard Form: y = ax 2 + bx + c ; plug in the coordinates of each point to obtain a system of three equations. Solve the system and write the equation.

Write a quadratic function whose graph has the given characteristics. 6.) Passes through: (-1, 0), (1, -2), (2, -15).

Write a quadratic function whose graph has the given characteristics. 7.) Vertex: (1, 6)and passes through: (-1, 2) 8.) x-intercepts: -3, 3 and passes through: (1, -4) 9.) Passes through: (-2, -13), (2, 3), (4, 5).