Graphs of Polynomials Functions

Slides:



Advertisements
Similar presentations
Sketching a Parabola if the x-Intercepts Exist
Advertisements

Quadratic Functions By: Cristina V. & Jasmine V..
4.2: Graphs of Quadratic Functions in Vertex or Intercept Form
Objective Transform polynomial functions..
Sketching a Quadratic Graph SWBAT will use equation to find the axis of symmetry, the coordinates of points at which the curve intersects the x- axis,
Y-intercepts Graph each linear equation and label the y-intercept. Write a rule to determine the y-coordinate of the y-intercept of a graph from its linear.
Graphs of One-to-One Functions In the following graphs of one-to-one functions, draw a horizontal line through more than one point on the graph if possible.
3.3 Factored Form of a Quadratic Relation
Unit 2 – Quadratic, Polynomial, and Radical Equations and Inequalities Chapter 5 – Quadratic Functions and Inequalities 5.7 – Analyzing Graphs of Quadratic.
LINEAR SYSTEMS – Graphing Method In this module, we will be graphing two linear equations on one coordinate plane and seeing where they intersect. You.
Graphing Quadratic Functions (2.1.1) October 1st, 2015.
Sketching a Quadratic Graph Students will use equation to find the axis of symmetry, the coordinates of points at which the curve intersects the x-axis,
Quadratic Functions Algebra III, Sec. 2.1 Objective You will learn how to sketch and analyze graph of functions.
Chapter 6 Test Prep 6-3 through 6-5: Solving Quadratic Equations 6-6: Graphing Quadratic Functions Application Problems Choose a section to work on. At.
Graphing quadratic functions (Section 5.1. Forms of the quadratic function  Standard form  Vertex form  Intercept form.
EXAMPLE 3 Graph a function of the form y = ax 2 + bx + c Graph y = 2x 2 – 8x + 6. SOLUTION Identify the coefficients of the function. The coefficients.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
Quadratic Functions. 1. The graph of a quadratic function is given. Choose which function would give you this graph:
Graphing Quadratic Inequalities Chapter 5.7. Graphing Quadratic Inequalities STEP 1 – Graph the parabola. If the symbol is, draw it with a dashed line.
Do Now: Solve the equation in the complex number system.
Quadratics Review – Intercept & Standard Form August 30, 2016.
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.
Graphing Quadratic Functions
How To Graph Quadratic Equations Standard Form.
Do Now Find the value of y when x = -1, 0, and 2. y = x2 + 3x – 2
Coefficients a, b, and c are coefficients Examples: Find a, b, and c.
Functions Unit 8.
8-6 Solving Polynomial equations in factored form
Sketching Graphs Maths Methods Unit 1.
Graphing Quadratic Inequalities
Polynomials: Graphing Polynomials. By Mr Porter.
8.4 Graphing.
Chapter 5 Quadratic Functions
Graph Absolute Value Equations
parabola up down vertex Graph Quadratic Equations axis of symmetry
lesson 9.2 I CAN draw and label a three point graph.
Find all solutions of the polynomial equation by factoring and using the quadratic formula. x = 0 {image}
Graphing Absolute Value Equations
List all possible rational zeros given by the rational zeros theorem (but don't check to see which actually are zeros). {image} Choose the answer.
Blue Book 16 Quadratic Graphs.
Graph and Solve Quadratic Inequalities
Indicate all x- and y-intercepts on the graph of the function y = x Choose the correct answer from the following: x-intercept (4,0), y-intercept.
4.1 & 4.2 Graphing Quadratic Functions
Quadratics Review – Intercept & Standard Form
Find the x-coordinate of the vertex
Graphing Quadratic Functions (2.1.1)
3.3 The Inverse of a Quadratic Function
Graphs of Quadratic Functions Day 1
Graphing Quadratic Functions
Day 127 – Graphing Quadratics
Review: Simplify.
GRAPHING PARABOLAS To graph a parabola you need : a) the vertex
Quadratic Equations, Inequalities, and Functions
8.4 Graphing.
5-Minute Check Lesson 4-1.
Drawing Quadratic Graphs
Bellwork: 2/13/18 Find each product.
Section 10.2 “Graph y = ax² + bx + c”
Quadratic Graphs.
Graphs of Polynomials Functions
Graphing Quadratic Equations
Parabolas.
Check Homework.
Section 2.9: Solving Inequalities in One Variable
4.1 Graphing Quadratic Functions
Graphing Quadratic Functions
Effect of the Real Numbers h and k of a
How To Graph Quadratic Equations.
Presentation transcript:

Graphs of Polynomials Functions Chapter 5 Discovery 1 Graphs of Polynomials Functions Graph each polynomial relation. Draw a vertical line through more than one point on the graph if possible. Are the polynomial relations graphed in exercises 1 - 4 functions?

Effect of the Coefficient a Chapter 5 Discovery 2 Effect of the Coefficient a on a Quadratic Graph Sketch the graphs of the given quadratic functions of the form , where on the same coordinate plane. Use the decimal window. Complete the following sentences by choosing the correct words: 7. In exercises 1 - 3, a is a positive/negative number. All of the graphs open upward/downward. 8. In exercises 4 - 6, a is a positive/negative number. All of the graphs open 9. In exercises 3 and 6, the absolute value of a is greater than 1. The shape of the parabola is wider/narrower than the graphs in exercises 2 and 5, in which a = 1 or -1. 10. In exercises 1 and 4, the absolute value of a is less than 1. The shape of the

Effect of the Coefficient c on a Chapter 5 Discovery 3 Effect of the Coefficient c on a Quadratic Graph Sketch the graph of the given quadratic functions of the form where b = 0, on the same coordinate plane. Use the decimal window and label the y-intercept of each graph. 1. Write a rule for determining the y-coordinate of the the y-intercept of a parabola from its equation. 2. Check your rule for