Warm UP Xy 0 1 2 3 4. 5.1 graph quadratics Objective: To graph quadratic functions. Where do you find these functions?

Slides:

Advertisements

Similar presentations

If the leading coefficient of a quadratic equation is positive, then the graph opens upward. axis of symmetry f(x) = ax2 + bx + c Positive #

Advertisements

4.1: Do Now Time (hours)02357 Height (millimeters) John placed a container outside during a rainstorm. A gauge on the side of the container shows.

Quadratic Functions, Quadratic Expressions, Quadratic Equations

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.

Essential Question: How do you find the vertex of a quadratic function?

Essential Question: How do you determine whether a quadratic function has a maximum or minimum and how do you find it?

M.M. 10/1/08 What happens if we change the value of a and c ? y=3x 2 y=-3x 2 y=4x 2 +3 y=-4x 2 -2.

 Determine the maximum value of the quadratic relation: y = -3x x + 29  We can’t factor this, so what do we do?  Look for the axis of symmetry,

FURTHER GRAPHING OF QUADRATIC FUNCTIONS Section 11.6.

Do Now Time (hours)02357 Height (millimeters) John placed a container outside during a rainstorm. A gauge on the side of the container shows the.

Pg. 36 #17-31 ANSWERS. Pre-Algebra 1-8 Graphing on the Coordinate Plane Pre-Algebra 1-8 Graphing on the Coordinate Plane Pre-Algebra: 1-8 HW Page 40.

Warm Up a)Find the y-intercept, the axis, and the vertex b)Make a table c)Graph the function d)State whether the function has a minimum or maximum e)Find.

Warm UP: Solve and check: 1) 3n – 7 = 262) 3(-4x + 2) = 6(2 + x) Solve and graph each solution on a number line: 3) 5p > 10 or -2p ≤ 10 Solve and check:

Graphing Quadratic Equations in Vertex and Intercept Form

Objective: I can analyze the graph of a linear function to find solutions and intercepts.

1. {(0, 10), (2, 7), (4, 5), (6, 2), (10, 1) } a. Make a scatter plot b. Describe the correlation c. Write the equation of the line of best fit.

Graphing Quadratic Equations

Ch. 4 Pre-test 1.Graph the function : y = – 4x 2 Then label the vertex and axis of symmetry. 2.Write the quadratic function in standard form : y = (x –

 Graph is a parabola.  Either has a minimum or maximum point.  That point is called a vertex.  Use transformations of previous section on x 2 and -x.

Graphing Quadratic Functions (2.1.1) October 1st, 2015.

2.3 Quadratic Functions. A quadratic function is a function of the form:

Lesson 10-1 Graphing Quadratic Functions. Objectives Graph quadratic functions Find the equation of the axis of symmetry and the coordinates of the vertex.

Warm ups – I will stamp hw tomorrow! Factor Solve.

Vertex & axis of Symmetry I can calculate vertex and axis of symmetry from an equation.

GRAPHING QUADRATIC FUNCTIONS

7-3 Graphing quadratic functions

Unit 2 – Quadratic, Polynomial, and Radical Equations and Inequalities Chapter 5 – Quadratic Functions and Inequalities 5.1 – Graphing Quadratic Functions.

10.1 & 10.2: Exploring Quadratic Graphs and Functions Objective: To graph quadratic functions.

Chapter 6-1 Graphing Quadratic Functions. Which of the following are quadratic functions?

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.

$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.

6-1 Graphing Quadratic Functions

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.

5.3 Transformations of Parabolas Goal : Write a quadratic in Vertex Form and use graphing transformations to easily graph a parabola.

Mathematical Studies for the IB Diploma © Hodder Education The quadratic function.

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.

Unit 3-1: Graphing Quadratic Functions Learning Target: I will graph a quadratic equation and label its key features.

Graphing Quadratic Equations a step-by-step guide with practice.

9-3 Graphing y = ax + bx + c 2 1a. y = x - 1 for -3

Warm – up #6 1. {(0, 10), (2, 7), (4, 5), (6, 2), (10, 1) } a. Make a scatter plot b. Describe the correlation c. Write the equation of the line of best.

Questions on 1.2 HW?. Warm-Up  Write a rule for the function X0123 Y3579 X Y7654.

Big Idea: -Graph quadratic functions. -Demonstrate and explain the effect that changing a coefficient has on the graph. 5-2 Properties of Parabolas.

Unit 1B Quadratics Day 2. Graphing a Quadratic Function EQ: How do we graph a quadratic function in standard form? M2 Unit 1B: Day 2 Lesson 3.1A.

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.

How does the value of a affect the graphs?

Definitions of the Day (DODs) GRAPING QUADRATIC FUNCTIONS OF THE FORM ax 2 +bx+c Axis of Symmetry (review) Vertex (review)

Math 9 Lesson #39 – Graphing Quadratic Equations Mrs. Goodman.

Quadratic Functions A quadratic function is described by an equation of the following form: ax² + bx + c, where a ≠ 0 The graphs of quadratic functions.

Warm – up #7  Closed x = –2  Open x = –2 xy –2 –3 – –2 –

9.1 Graphing Quadratic Functions. Quadratic Function A function of the form y=ax 2 +bx+c where a≠0 making a u-shaped graph called a parabola. A function.

Objectives: Be able to graph a quadratic function in vertex form Be able to write a quadratic function in vertex form (2 ways)

Graphing Quadratic Functions. The graph of any Quadratic Function is a Parabola To graph a quadratic Function always find the following: y-intercept.

Warm-up: 1. Graph y = -4x – 3 2. Find f(3) when f(x) = 3x + 2.

Bellwork  Identify the domain and range of the following quadratic functions

Chapter 5 Lesson 1 Graphing Quadratic Functions Vocabulary Quadratic Function- A function described by f(x)=ax 2 +bx+c where a≠0 Quadratic Term- ax 2.

10-2 Graphing Quadratic Functions. Quadratic Functions (y = ax 2 +bx+c) When a is positive, When a is negative, When c is positive When c is negative.

Intro. Unit 4-1: Graphing Quadratic Functions Then/Now You identified and manipulated graphs of functions. Graph quadratic functions. Find and interpret.

Graphing Quadratic Functions in Standard Form 5.1 Algebra II.

Solving Quadratic Equations by Graphing Need Graph Paper!!! Objective: 1)To write functions in quadratic form 2)To graph quadratic functions 3)To solve.

2.8 Absolute Value Functions

2-5 Absolute Value Functions and Graphs

Warm up 1) Graph.

Notes 5.4 (Day 3) Factoring ax2 + bx + c.

Graphing Quadratic Functions (2.1.1)

Creating & Graphing Quadratic Functions Using Standard Form (3.3.1)

I will write a quadratic function in vertex form.

Warm Up Find the following: Vertex A.O.S. Y-intercept X-intercept.

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.

Presentation transcript:

Warm UP Xy

5.1 graph quadratics Objective: To graph quadratic functions. Where do you find these functions?

5.1 graphing quadratics The graph of a quadratic function Y-intercepty value when x=0 or c in the equation vocabulary

Graphing Quadratic Equations 1) How do you do it? 2) Example Step 1: Find the vertex. will give you the x-coordinate of the vertex. Plug back in to find the y-coordinate. Step 2: Make a table of value (2 above and 2 below the vertex) Step 3: Find the y-intercept (plug in x=0 or c) 1) 2)

You try

Other skills needed

* The y-coordinate of the vertex is either the maximum value or the minimum value.

You try

HW: pg. 241 #’s 1 – 11