Section 3.6: Quadratic Function Vertex (h,k) (maximum) a<0 Vertex (h,k) (minimum) a>0 **

Slides:



Advertisements
Similar presentations
5.1 Modeling Data with Quadratic Functions. Quadratic Function: f(x) = ax 2 + bx + c a cannot = 0.
Advertisements

The Graph of a Quadratic Function
Section 4.1: Vertex Form LEARNING TARGET: I WILL GRAPH A PARABOLA USING VERTEX FORM.
Quadratics Vocabulary 2. Identify the following: What type of function Positive/Negative Maximum/Minimum Roots/Solutions/Zeros Vertex Axis of Symmetry.
Quadratic Functions. How Parabolas Open A parabola will open upward if the value of a in your equations is positive-this type of parabola will have.
Graphing Quadratic Equations
Section 2.4 Analyzing Graphs of Quadratic Functions.
Notes Over 9.3 Graphs of Quadratic Functions
Graphing Quadratic Functions (2.1.1) October 1st, 2015.
THE SLIDES ARE TIMED! KEEP WORKING! YOUR WORK IS YOUR OWN! Quadratic Systems Activity You completed one in class… complete two more for homework.
2.1 – Quadratic Functions.
$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.
Advanced Geometry Conic Sections Lesson 3
Chapter 5.2/Day 3 Solving Quadratic Functions by Graphing Target Goal: 1. Solve quadratic equations by graphing.
Unit 9 Review Find the equation of the axis of symmetry, along with the coordinates of the vertex of the graph and the y-intercept, for the following equation.
Precalculus Section 1.7 Define and graph quadratic functions
Graphing quadratic functions part 2. X Y I y = 3x² - 6x + 2 You have to find the vertex before you can graph this function Use the formula -b 2a a = 3.
Big Idea: -Graph quadratic functions. -Demonstrate and explain the effect that changing a coefficient has on the graph. 5-2 Properties of Parabolas.
CHAPTER 10 LESSON OBJECTIVES. Objectives 10.1 Students will be able to: Identify quadratic functions and determine whether they have a minimum or maximum.
Do Now: Solve the equation in the complex number system.
5-1 Graphing Quadratic Functions Algebra II CP. Vocabulary Quadratic function Quadratic term Linear term Constant term Parabola Axis of symmetry Vertex.
Quadratic Functions. 1. The graph of a quadratic function is given. Choose which function would give you this graph:
How does the value of a affect the graphs?
Section 10.2 The Parabola. Find an equation of the parabola with vertex at (0, 0) and focus at (3, 0). Graph the equation. Figure 5.
Do Now: Solve the equation in the complex number system.
Graphing Quadratic Functions. The graph of any Quadratic Function is a Parabola To graph a quadratic Function always find the following: y-intercept.
Precalculus Section 1.7 Define and graph quadratic functions Any function that can be written in the form: y = ax 2 +bx + c is called a quadratic function.
Key Components for Graphing a Quadratic Function.
Parabolas and Quadratic Functions. The x coordinate of the vertex can be found using as well. This is the easier method for finding the vertex of.
Factor each polynomial.
5-2 Properties of Parabolas
4.2 Standard Form of a Quadratic Function
Quadratic Functions In Chapter 3, we will discuss polynomial functions
Warm Up /05/17 1. Evaluate x2 + 5x for x = -4 and x = 3. __; ___
Section 5.1 Modeling Data with Quadratic Functions Objective: Students will be able to identify quadratic functions and graphs, and to model data with.
Warm Up /31/17 1. Evaluate x2 + 5x for x = 4 and x = –3. __; ___
Part 4.
Quadratic Functions and Their Properties
Quadratic Equations Chapter 5.
4.2 a Standard Form of a Quadratic Function
4.1 Quadratic Functions and Transformations
Using the Vertex Form of Quadratic Equations
Y Label each of the components of the parabola A: ________________ B: ________________ C: ________________ C B B 1 2.
Homework Review: Sect 9.1 # 28 – 33
parabola up down vertex Graph Quadratic Equations axis of symmetry
Quadratic Functions.
Lesson 5.4 Vertex Form.
Warm up 1) Graph.
3.1 Quadratic Functions and Models
Graphing Quadratic Functions (2.1.1)
Warm Up Let’s find the vertex of the following quadratic equation and state whether it is a maximum point or minimum point.
Section 9.1 Day 4 Graphing Quadratic Functions
Review: Simplify.
Creating & Graphing Quadratic Functions Using the X-Intercepts (3.3.2)
Creating & Graphing Quadratic Functions Using Standard Form (3.3.1)
GRAPHING PARABOLAS To graph a parabola you need : a) the vertex
Objectives Find the zeros of a quadratic function from its graph.
Warmup 1) Solve. 0=2
ALGEBRA II ALGEBRA II HONORS/GIFTED - SECTIONS 4-1 and 4-2 (Quadratic Functions and Transformations AND Standard and Vertex Forms) ALGEBRA.
MATH 1310 Section 3.5.
3.1 Quadratic Functions and Models
Unit 9 Review.
Section 10.2 “Graph y = ax² + bx + c”
Quadratic Functions Graphs
Algebra 2 – Chapter 6 Review
Parabolas.
Warm Up.
MATH 1310 Section 3.5.
Quadratic Equation Day 4
QUADRATIC FUNCTION PARABOLA.
Presentation transcript:

Section 3.6: Quadratic Function Vertex (h,k) (maximum) a<0 Vertex (h,k) (minimum) a>0 **

a) State the minimum/maximum. b) State the axis of symmetry (AoS). c) Find the zeros. d) Sketch it. Given the equation…Find the supporting parts:

a) State the minimum/maximum. b) State the axis of symmetry (AoS). c) Find the zeros. d) Sketch it.

Given the supporting parts…Find the equation: Ex: Find an equation of a parabola with V(2, 3) and passing through point (5, 1). V(2, 3) (5, 1) Sketch It…It will help you see what’s going on!

Ex: Flights of leaping animals typically have parabolic paths. The figure below illustrates a frog jump superimposed on a coordinate plane. Find the standard equation for the path of the frog. ???