WARM UP Use f(x) = 3x 2 + 4x – 6 to evaluate the following. 1. f(2) 2. f(-4) 3. f(0)

Slides:

Advertisements

Similar presentations

Warm up 1. Solve. 2. Solve. m m + 30 = 0 x = 0.

Advertisements

Quadratic Functions Review / Warm up. f(x) = ax^2 + bx + c. In this form when: a>0 graph opens up a 0 Graph has 2 x-intercepts.

Daily Check #2 Factor the following quadratics... a) b) c)

Math I UNIT QUESTION: What is a quadratic function? Standard: MM2A3, MM2A4 Today’s Question: How do you solve quadratic inequalities by algebra or a graph?

Graphing Quadratics With VERTEX and Axis of Symmetry At the end of the period, you will learn: 1. To compare parabola by the coefficient 2. To find the.

Goal: Graph quadratic functions in different forms.

10.1 Graphing Quadratic Functions p. 17. Quadratic Functions Definition: a function described by an equation of the form f(x) = ax 2 + bx + c, where a.

Do Now 1.Factor: f(x) = 3x x Factor f(x) = 2x 2 - 7x + 3.

Warmup 9-11 Solve the following equations by factoring. Show work! 1.x x - 80 = 0 2.Solve by using the quadratic formula: 4x 2 - 5x - 2 = 0 3.Solve.

5.5 – The Quadratic formula Objectives: Use the quadratic formula to find real roots of quadratic equations. Use the roots of a quadratic equation to locate.

Today in Pre-Calculus Go over homework Notes: –Quadratic Functions Homework.

Graphing Quadratic Functions

6.1 Graphing Quadratic Functions Parabola Axis of symmetry Vertex.

3-1 Symmetry and Coordinate Graphs. Graphs with Symmetry.

7-3 Graphing quadratic functions

MM2A3. Students will analyze quadratic functions in the forms f(x) = ax 2 + bx + c and f(x) = a(x – h) 2 + k. a. Convert between standard and vertex form.

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

REVIEW FOR QUIZ 3 ALGEBRA II. QUESTION 1 FACTOR THE FOLLOWING QUADRATIC 3N 2 + 7N + 4 Answer: (3n + 4)(n + 1)

Quadratics Day 2! VERTEX FORM Unit 6 Quadratic Functions Math II.

2.3 Factor Standard Equations into X-intercept Form.

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.

Quadratic Functions and Equations Ch. 4.2 Standard Form of a Quadratic Function EQ: I Will...

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.

Quadratic Functions. 1. The graph of a quadratic function is given. Choose which function would give you this graph:

4.2 Standard Form of a Quadratic Function The standard form of a quadratic function is f(x) = ax² + bx + c, where a ≠ 0. For any quadratic function f(x)

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

Daily Check Give the transformations for each of the following functions? 1)f(x) = (x - 2) )f(x) = -3x 2 3)f(x) = ½ (x+3) 2 Write the equation in.

Homework. 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 of the form y=ax 2 +bx+c.

EOCT Practice Question of the Day CCGPS Geometry Day 24 (9-5-14) UNIT QUESTION: How are real life scenarios represented by quadratic functions? Today’s.

SAT Problem of the Day. 5.5 The Quadratic Formula 5.5 The Quadratic Formula Objectives: Use the quadratic formula to find real roots of quadratic equations.

Graphing Quadratic Functions in Standard Form 5.1 Algebra II.

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

f(x) = x2 Let’s review the basic graph of f(x) = x2 x f(x) = x2 -3 9

Algebra 2 Name:_____________________

WARM UP Use the graph of to sketch the graph of

Section 5.1 Modeling Data with Quadratic Functions Objective: Students will be able to identify quadratic functions and graphs, and to model data with.

Chapter 2: Functions, Equations, and Graphs

Using the Vertex Form of Quadratic Equations

Warm-Up Find the x and y intercepts: 1. f(x) = (x-4)2-1

4.2 Graph Quadratic Functions in Vertex or Intercept Form

Translating Parabolas

3.2 Graphing Quadratic Functions in Vertex or Intercept Form

Quadratic Functions.

Warm up 1) Graph.

CHAPTER 6 SECTION 1 GRAPHING QUADRATIC FUNCTIONS

What are the equations of the following lines?

Quadratics Review – Intercept & Standard Form

9.1 Graphing Quadratic Functions

Warm Up Let’s find the vertex of the following quadratic equation and state whether it is a maximum point or minimum point.

The Discriminant CA 22.0, 23.0.

Creating & Graphing Quadratic Functions Using the X-Intercepts (3.3.2)

Warm up Tell whether the relation is a function.

CCGPS Geometry Day 39 (3-5-15)

Warm up Tell whether the relation is a function.

I will write a quadratic function in vertex form.

Graphing Quadratic Functions

Analysis of Absolute Value Functions Date:______________________

Graphs of Quadratic Functions

Solving Quadratic Equations by Graphing

Warm up Solve and graph on number line 5|x+2| - 3 < 17

9.2 Graphing Quadratic Equations

Daily Check If a quadratic decreases from 2 < x < ∞ and the vertex is at (2, -3), how many x intercepts would the quadratic have? A quadratic has a vertex.

f(x) = x2 Let’s review the basic graph of f(x) = x2 x f(x) = x2 -3 9

Honors Algebra 2 Chapter 4

Presentation transcript:

WARM UP Use f(x) = 3x 2 + 4x – 6 to evaluate the following. 1. f(2) 2. f(-4) 3. f(0)

Math II UNIT QUESTION: What is a quadratic function? Standard: MM2A3, MM2A4 Today’s Question: How do you graph quadratic functions in standard form? Standard: MM2A4.a.

x-(x) 2 +2x-1 y(x, y) 

Tell whether the graph opens up or down. Graph each using a T-chart. Find the axis of symmetry &  vertex . Use a dotted line to graph the axis of symmetry. xx 2 - 6x + 5 y(x, y) 

x-(x) 2 - 2x+3 y(x, y) 

x(x) 2 +2x-6 y(x, y) 

x(x) 2 +8x+13 y(x, y) 

1.Find the vertex point, (h, k): 2.a will be the a from the standard form equation. 3. Substitute into y = a (x-h) 2 + k

1.Convert y = 2x 2 – 4x Convert y = -x 2 – 2x + 1 Vertex = (1, 3) Standard form: y = 2(x-1) Vertex = (-1, 2) Standard form: y = -(x+1) 2 + 2

Homework Pg. 59 #23-33 odd