Quadratic Models 1 Aims: To know what a quadratic is. To know the different graph shapes. To use technology to plot some graphs. To be able to identify.

Slides:

Advertisements

Similar presentations

3.2 Graphing Quadratic Functions in Vertex or Intercept Form

Advertisements

Standard MM2A3. Students will analyze quadratic functions in the forms f(x) = ax2 + bx + c and f(x) = a(x – h)2 + k. c. Investigate and explain characteristics.

Quadratic equations Sudheer Kumar Cranbourne Secondary College.

6.1/6.2/6.6/6.7 Graphing , Solving, Analyzing Parabolas

 Quadratic Equation – Equation in the form y=ax 2 + bx + c.  Parabola – The general shape of a quadratic equation. It is in the form of a “U” which.

Quadratic Functions By: Cristina V. & Jasmine V..

Graphing Quadratic Functions

Quadratic Theory Higher Maths. Quadratic Theory The quadratic graph Using the discriminant Quadratic theory examplesBasic skills questions Problem solving.

PARABOLAS and the GRAPHIC CALCULATOR (PARABOLEN en de GRAFISCHE REKENMACHINE )

Quadratic Graph Drawing.

How to Take a Screenshot By Ashley Hudson Screenshot of this screen 

Equilibrium calculations To view as a slide show, Click on the “Slideshow” on the menu bar, and then on “View Show” Click the mouse or press Page Down.

Introduction Earlier we studied the circle, which is the set of all points in a plane that are equidistant from a given point in that plane. We have investigated.

©2007 by S – Squared, Inc. All Rights Reserved. **RECALL**  Quadratic Function in general form: ax 2 + bx + c where a, b, and c are real number coefficients.

Anatomy of a Quadratic Function. Quadratic Form Any function that can be written in the form Ax 2 +Bx+C where a is not equal to zero. You have already.

 Radical Equations Quadratic Formula. Remember: 1. Simplify x 2 – x = 6 is therefore a 2 nd degree equation Aim: Use the quadratic formula in order to.

Using the TI-83+ Creating Graphs with Data. Preparing to Graph  Once the calculator is on and you have entered data into your lists, press the “Y=“ button.

Whiteboardmaths.com © 2004 All rights reserved

This is what a blank excel workbook looks like. To start there are three separate sheets on which to store data. Down the left side are the ROW labels.

Odd one out Can you give a reason for which one you think is the odd one out in each row? You need to give a reason for your answer. A: y = 2x + 2B: y.

Unit 1B quadratics Day 3. Graphing a Quadratic Function EQ: How do we graph a quadratic function that is in vertex form? M2 Unit 1B: Day 3 Lesson 3.1B.

WARM UP Simplify (-14) x 2, for x = 3 4.

Starter Task 1)Collect your folders 2)Turn to page 11 in your booklets. 3)Answer the questions from Exercise C.

Algebra 2 Ch.5 Notes Page 30 P Modeling Data with Quadratic Equations.

Please CLOSE YOUR LAPTOPS, and turn off and put away your cell phones, and get out your note-taking materials.

4.1 Graph Quadratic Functions in Standard Form

QUADRATIC GRAPHS Tables of values.

1.The standard form of a quadratic equation is y = ax 2 + bx + c. 2.The graph of a quadratic equation is a parabola. 3.When a is positive, the graph opens.

Graphs of Quadratic Functions Graph the function. Compare the graph with the graph of Example 1.

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.

Shifting the Standard Parabola

4.1 – 4.3 Review. Sketch a graph of the quadratic. y = -(x + 3) Find: Vertex (-3, 5) Axis of symmetry x = -3 y - intercept (0, -4) x - intercepts.

13.1 Introduction to Quadratic Equations

10.1 Quadratic GRAPHS!.

WARM UP What is the x-coordinate of the vertex? 1.y = -2x 2 + 8x – 5 2.y = x 2 + 3x -2 4.

Graphing Functions The graphing calculator can be a great help in sketching functions. Example Sketch a graph of function f Press Y= for the equation screen...

Aims: To be able to find equations of asymptotes to graphs of To be able to find equations of asymptotes to graphs of rational functions rational functions.

Precalculus Section 1.7 Define and graph quadratic functions

Quadratic Regression By, Tyler Laufersweiler. Quadratic Regression Title: Finding the equation of curves throughout life using quadratic regression This.

Some stuff you should already know!! Hopefully…. For more practice Ex 6A page 80 – independent study.

How to use GeoGebra Nick Peruski EDMT 602 Next. GeoGebra is FREE software that allows math teachers to create shapes, graphs, interactive lessons and.

10.3 Solving Quadratic Equations – Solving Quadratic Eq. Goals / “I can…”  Solve quadratic equations by graphing  Solve quadratic equations using.

Quadratics Review – Intercept & Standard Form August 30, 2016.

How To Graph Quadratic Equations Standard Form.

Do Now Find the value of y when x = -1, 0, and 2. y = x2 + 3x – 2

Sketching Graphs Maths Methods Unit 1.

Algebra I Section 9.3 Graph Quadratic Functions

Section 2.2 Quadratic Functions

Quadratic Graph Drawing.

1.The standard form of a quadratic equation is y = ax 2 + bx + c. 2.The graph of a quadratic equation is a parabola. 3.When a is positive, the graph opens.

How to Graph Quadratic Equations

How To Graph Quadratic Equations

parabola up down vertex Graph Quadratic Equations axis of symmetry

Quadratics Review – Intercept & Standard Form

Find the x-coordinate of the vertex

Graphing Quadratic Functions (10.1)

How To Graph Quadratic Equations.

Graphs of Quadratic Functions Part 1

WARM UP 3 EVALUATING RADICAL EXPRESSIONS Evaluate the radical expression when a = -1 and b = 5. (LESSON 9.1). b 2 − 11a b 2 +9a a 2 +8.

How To Graph Quadratic Equations.

Quadratic Graph Drawing.

Section 10.2 “Graph y = ax² + bx + c”

Quadratic Graphs.

Graphing Quadratic Equations

Quadratic Functions Graphs

Quadratic Graph Drawing.

quadratic formula. If ax2 + bx + c = 0 then

Effect of the Real Numbers h and k of a

How To Graph Quadratic Equations.

Factorise and solve the following:

Presentation transcript:

Quadratic Models 1 Aims: To know what a quadratic is. To know the different graph shapes. To use technology to plot some graphs. To be able to identify key features of a graph. To link the graphs features with it’s equation.

What is a quadratic? A quadratic is an equation where the highest power is x 2. They can come in many different forms. Identify which of the following are quadratics. 2x 2 + 3x - 92x 2 + 3x 3 - 9(x+1)(x+3) (x+1)(x+2)(x+3)(x – 1) 2 - 8(x 2 +1)(x-5)

Expanded Form Today we are going to look at the expanded form of quadratics. y = ax 2 + bx + c The shape of a quadratic graph is always a parabola.

Parabolas y = ax 2 + bx + c

Graphing We are now going to plot some quadratics to investigate their graphs. There are six questions on page 2 of your booklet that I would like you to plot.

On the i-pads Load up the geogebra i-pad app. You can type in your equation in the input bar along the bottom. Zoom in or out as appropriate to get a good view. Make a copy of the sketch in your booklets and label important points on the graph.

On a laptop Visit / / Click Java Webstart Hopefully geogebra will load! You can type in your equation in the input bar along the bottom. Zoom in or out as appropriate to get a good view. Print screen your graphs and copy into word. Crop and label appropriately.

On a laptop Visit /Graph_Calculator/graphCalc.html /Graph_Calculator/graphCalc.html Or google online graphic calculator and click the top link. You can type in your equation in the input bar at the top. Zoom in or out as appropriate to get a good view. Print screen your graphs and copy into word. Crop and label appropriately.

On a graphic calculator Press MENU Choose GRAPH mode Type your equation in on the first line. Press SKETCH. If you are having problems with the view press V-WIN -> STD to reset the scales. Make a copy of the sketch in your booklets and label important points on the graph.