I will write a quadratic function in vertex form.

Slides:



Advertisements
Similar presentations
Goal: I can infer how the change in parameters transforms the graph. (F-BF.3) Unit 6 Quadratics Translating Graphs #2.
Advertisements

6.1/6.2/6.6/6.7 Graphing , Solving, Analyzing Parabolas
Algebra II w/ trig 4.1 Quadratic Functions and Transformations
Section 7.5 – Graphing Quadratic Functions Using Properties.
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.

Write a quadratic function in vertex form
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.
9.4 Graphing Quadratics Three Forms
5.5 – The Quadratic formula Objectives: Use the quadratic formula to find real roots of quadratic equations. Use the roots of a quadratic equation to locate.
Graphing Quadratic Equations Standard Form & Vertex Form.
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.
Graphing Quadratic Functions (2.1.1) October 1st, 2015.
Vertex & axis of Symmetry I can calculate vertex and axis of symmetry from an equation.
Fireworks – Vertex Form of a Quadratic Equation
Roots, Zeroes, and Solutions For Quadratics Day 2.
Section 5-4(e) Solving quadratic equations by factoring and graphing.
$200 $400 $600 $800 $1000 $200 $400 $600 $800 $1000 $200 $400 $600 $800 $1000 $200 $400 $600 $800 $1000 $200 $400 $600 $800 $1000 $200 $400.
Algebra 2 Notes (9-4) Graphs of Quadratic Functions.
10-2 Quadratic Functions Graphing y = ax² + bx + c Step 1 Find the equation of the axis of symmetry and the coordinates of the vertex. Step 2 Find.
Graphing Parabolas Students will be able to graph parabolas or second degree equations.
Learning Task/Big Idea: Students will learn how to graph quadratic equations by binding the vertex and whether the parabola opens up or down.
Shifting the Standard Parabola
Chapter 5.2/Day 3 Solving Quadratic Functions by Graphing Target Goal: 1. Solve quadratic equations by graphing.
Conics Conics Review. Graph It! Write the Equation?
Quadratic Relations Solving Quadratic Equations Day 4: Solve by Quadratic Formula Monday, January 25, 20161Day 4 - Solve by Quadratic Formula.
Unit 3-1: Graphing Quadratic Functions Learning Target: I will graph a quadratic equation and label its key features.
Section 4.5: Zero Product Property. DO NOW Factoring  Today, we will learn why we factor and how this is such a useful tool.
MA.912.A.7.1: Graph quadratic equations with and without graphing technology. Which of the following equations represents the graph shown? A.y = −x 2.
Objective: Students will be able to 1)Find the axis of symmetry 2)Find the vertex 3)Graph a quadratic formula using a table of values.
Quadratic Functions. 1. The graph of a quadratic function is given. Choose which function would give you this graph:
Warm Up  1.) What is the vertex of the graph with the equation y = 3(x – 4) 2 + 5?  2.) What are the x-intercepts of the graph with the equation y= -2(x.
3.7 Families of Quadratic Functions. Example 1 Given the function, determine another quadratic function with the SAME VERTEX.
Graphing Quadratic Functions in Standard Form 5.1 Algebra II.
Quadratics Review – Intercept & Standard Form August 30, 2016.
Topic 5: Modeling with Linear and Quadratics Functions 5.4 Graphing a Quadratic Function.
Write a quadratic function in vertex form
10.5 Parabolas Objective: Use and determine the standard and general forms of the equations of a parabolas. Graph parabolas.
Solving Nonlinear Systems
Algebra I Section 9.3 Graph Quadratic Functions
Quadratic Equations and Parabolas
Warm-Up 5/14/08.
5.5 Completing the Square.
6.2 Solving Quadratic Equations by Graphing
Thursday, September 8.
Quadratic Functions.
lesson 9.2 I CAN draw and label a three point graph.
Warm up 1) Graph.
4.7 Complete the Square.
Quadratics Review – Intercept & Standard Form
4.10 Write Quadratic Functions and Models
5.5 Completing the Square.
Find the x-coordinate of the vertex
Graphing Quadratic Functions (2.1.1)
3.3 The Inverse of a Quadratic Function
The Parabola.
Warmup 1) Solve. 0=2
Drawing Quadratic Graphs
Obj: graph parabolas in two forms
Solve Quadratics by Graphing ax2 +bx + c
Graphing Quadratic Equations
5.2.2 – Intercept Form.
Writing Quadratic Functions in Intercept Form
Solving Quadratic Equations by Graphing
Warm-up: 1) Find the standard form of the equation of the parabola given: the vertex is (3, 1) and focus is (5, 1) 2) Graph a sketch of (x – 3)2 = 16y.
L5-7 Objective: Students will be able to solve quadratics by using the quadratic formula.
Warm up Graph 1. y = 3x² - 6x y = -x² + 2x – 1
Notes Over 5.8 Writing a Quadratic Function in Vertex Form
9.2 Graphing Quadratic Equations
Effect of the Real Numbers h and k of a
Presentation transcript:

I will write a quadratic function in vertex form.

Example A. Write y = x 2 – 2x + 4 in vertex form. Write Functions in Vertex Form A. Write y = x 2 – 2x + 4 in vertex form.

Example 1 B. Write y = –3x 2 – 18x + 10 in vertex form.

Example 1 B. Write y = –3x 2 – 18x + 4 in vertex form. A. y = –3(x + 3)2 – 23 B. y = –3(x + 3)2 + 31 C. y = –3(x – 3)2 – 23 D. y = –3(x – 3)2 + 31

Example Write an equation in vertex form for the given parabola.

Example 2 Which is an equation of the function shown in the graph? A. B. C. D.

Assignment Pg. 278 -279 #11-15 #23-27 #36-38 #41-43