Question 1 Extrema: ___ Axis of Sym: _ Domain: __ Range: Increase: _ Decrease: ______ End.

Slides:

Advertisements

Similar presentations

1.4 – Shifting, Reflecting, and Stretching Graphs

Advertisements

quadratic function- a nonlinear function with an “x squared” term

Write equation or Describe Transformation. Write the effect on the graph of the parent function down 1 unit1 2 3 Stretch by a factor of 2 right 1 unit.

Warm-up Problems Simplify Solve -2(x – 3)2 = 24

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

Name:__________ warm-up 9-1 Factor a 2 – 5a + 9, if possibleFactor 6z 2 – z – 1, if possible Solve 5x 2 = 125Solve 2x x – 21 = 0.

Quadratics Test Review. xy Linear or Quadratic

Radical/Power Functions Radicals Complex Numbers Quadratic Functions

9 week test review problems Problems like 1-11 are definitely on the test 1. Write an equation for the linear function f satisfying the given conditions.

1.8 QUADRATIC FUNCTIONS A function f defined by a quadratic equation of the form y = ax 2 + bx + c or f(x) = ax 2 + bx + c where c  0, is a quadratic.

Chapter 2 Polynomial and Rational Functions

Parent Functions 4.4 Transformations 4.5 Inverse Functions 4.6 Average Rate of Change Secondary Math 2 4.1/4.2 Functions

Math Jeopardy Quad. Functions And Square Roots Graphing Quad. Equations Solving Quad. Equations Vertical Motion “Algebra – Chapter 9” Critical Values.

9-4 Quadratic Equations and Projectiles

3.1 Quadratic Functions. Polynomials- classified by degree (highest exponent) Degree: 0 -constant function-horizontal line 1 -linear function- 2 -quadratic.

Chapter 4 Section 5.B Solving Quadratics by Finding Square Roots In this assignment, you will be able to... 1.Solve a quadratic equation. 2. Model a dropped.

The range of this function is a) b) c) d) e) f) g) h). One of the x-intercepts for this function is at (-3,0)

Section 4.1 – Quadratic Functions and Translations

2.4: Quadratic Functions.

Notes Over 9.3 Graphs of Quadratic Functions

4-2 Quadratic Functions: Standard Form Today’s Objective: I can graph a quadratic function in standard form.

2.1 – Quadratic Functions.

SAT Problem of the Day.

Unit 1 part 2 Test Review Graphing Quadratics in Standard and Vertex Form.

CC1 Key Features of a Graph Domain? Range? End-Behavior? Maximum? Minimum? Interval of Increase? Interval of Decrease?

Characteristics of Quadratics Projectiles/ Applications

Warm Up for Lesson 3.5 1)Solve: x 2 – 8x – 20 = 0 2) Sketch the graph of the equation y = 2x – 4.

Warm up Write the equation in vertex form of the quadratic equation that has been: 1. shifted right 7 and down reflected across the x-axis and shifted.

Algebra 2 5-R Unit 5 – Quadratics Review Problems.

Question 1 For the graph below, what is the Range? A)[-1, ∞) B)(∞, -1] C)[-5, ∞) D)(∞, -5]

Graph a parabola through these points (0,3)(-1, 2)(-2, 3) Then write the equation of the parabola in vertex form by using the transformations.

Warm up Write the equation in vertex form of the quadratic equation that has been: 1. shifted right 7 and down reflected across the x-axis and shifted.

THIS IS a variant of JEOPARDY!

Name:__________ warm-up 9-2

Section 4.1 Notes: Graphing Quadratic Functions

Homework Review Lesson 3.1B.

Warm up Write the equation in vertex form of the quadratic equation that has been: 1. shifted right 7 and down reflected across the x-axis and shifted.

Characteristics of Quadratic Functions

Vertical Height (In Feet)

Unit 5 – Quadratics Review Problems

4.1 Quadratic Functions and Transformations

Mrs. Rivas Ch 4 Test Review 1.

Functions and Their Graphs

Graph the function y = 2x2 + 4x – 3.

Warm Up HW: Quadratics Review Worksheet

Lesson 2.1 Quadratic Functions

Unit 12 Review.

Chapter 15 Review Quadratic Functions.

9-4 Quadratic Equations and Projectiles

Chapter 15 Review Quadratic Functions.

Homework Review Lesson 3.1B.

Chapter 3: Polynomial Functions

Everything I could want to know.

Chapter 3: Polynomial Functions

Warm up Write the equation in vertex form of the quadratic equation that has been: 1. shifted right 7 and down reflected across the x-axis and shifted.

Unit 6 Review Day 1 – Day 2 Class Quiz

Analysis of Absolute Value Functions Date:______________________

Warm up Write the equation in vertex form of the quadratic equation that has been: 1. shifted right 7 and down reflected across the x-axis and shifted.

Quadratic Functions and Their Properties

Warm Up 1. Graph y = x2 + 4x Identify the vertex and zeros of the function above. vertex:(–2 , –1); zeros:–3, –1.

Bellwork: 2/8/18 Graph. Identify the vertex, axis of symmetry, domain, and range. 1. y = -3x y =(x-1)2 *Have your bellwork for the week out,

CHAPTER # THRU 5.4 TEST # 1 REVIEW QUESTIONS.

Warmup Graph the following quadratic equation using the table provided. Then analyze the graph for the information listed below. y = -3x2 + 12x.

Homework Review Lesson 3.1B.

Presentation transcript:

Question 1 Extrema: _________ Axis of Sym: ___________ Domain: ______________ Range: ______________ Increase: _____________ Decrease: ____________ End Behavior

Question 1 Extrema: _________ Axis of Sym: ___________ Domain: ______________ Range: ______________ Increase: _____________ Decrease: ____________ End Behavior

Question 2 Describe the transformation: Write the equation:

Question 2 Describe the transformation: Write the equation:

Question 3 Sketch the quadratic using the given information:

Question 3 Sketch the quadratic using the given information:

Question 4 Describe the transformation

Question 4 Describe the transformation

Question 5 Describe the transformation

Question 5 Describe the transformation

Question 6 Write the equation of the quadratic that has been shifted down 1 and shrunk by a factor of ½

Question 6 Write the equation of the quadratic that has been shifted down 1 and shrunk by a factor of ½

Question 7 Write the equation of the quadratic that has been reflected over the x- axis and has shifted right 2

Question 7 Write the equation of the quadratic that has been reflected over the x- axis and has shifted right 2

Question 8 Change the equation to standard form.

Question 8 Change the equation to standard form.

Question 9 Change the equation to standard form.

Question 9 Change the equation to standard form.

Question 10 Change the equation to vertex form.

Question 10 Change the equation to vertex form.

Question 11 Change the equation to vertex form.

Question 11 Change the equation to vertex form.

Question 12 Find the average rate of change

Question 12 Find the average rate of change

Question 13 Find the average rate of change

Question 13 Find the average rate of change

Question 14 An object is projected into the air with a path described by the function where h is the height above the ground in feet and t is the time in seconds since the object started along the path. Find the time the object changes direction.

Question 14 An object is projected into the air with a path described by the function where h is the height above the ground in feet and t is the time in seconds since the object started along the path. Find the time the object changes direction.

Question 15 An object is projected into the air with a path described by the function where h is the height above the ground in feet and t is the time in seconds since the object started along the path. Find the maximum height of the object.

Question 15 An object is projected into the air with a path described by the function where h is the height above the ground in feet and t is the time in seconds since the object started along the path. Find the maximum height of the object.