Combine it All Together

Slides:



Advertisements
Similar presentations
Algebra II w/ trig 4.1 Quadratic Functions and Transformations
Advertisements

Module 2 Quadratic Functions
1 © 2010 Pearson Education, Inc. All rights reserved © 2010 Pearson Education, Inc. All rights reserved Chapter 3 Polynomial and Rational Functions.
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.
EXAMPLE 3 Graph a quadratic function in intercept form
Chapter Equations 1.6 Relations 1.7 Functions.
Section 4.1: Vertex Form LEARNING TARGET: I WILL GRAPH A PARABOLA USING VERTEX FORM.
I. The parent function of a quadratic
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.
4.4 Equations as Relations
9-1 Graphing Quadratic Functions
Fun with Functions Katherine Doan 9/22/10. The Problem Darby is saving money for her prom dress. If every yard of fabric costs $6.85, how much money will.
JEOPARDY! Graphing Quadratics Graphing Solving using Square Roots Discriminants GO TO FINAL.
Quadratic Functions and Their Properties
Jeopardy Factoring Quadratic Functions Zeroes and Vertex Describing Polynomials Modeling & Regression Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200.
4.1 and 4.7 Graphing Quadratic Functions. Quadratic function a function that has the form y = ax 2 + bx + c, where a cannot = 0.
Vertex Form of Quadratic Function
Graphing Quadratic Equations
Graphing Quadratic Functions (2.1.1) October 1st, 2015.
+ Properties of Parabolas § Objectives Graph quadratic functions. Find the maximum and minimum value of quadratic functions. By the end of today,
Quadratics Questions.
GRAPHING PARABOLAS This presentation is modified from a HyperStudio presentation. Annette Williams MTSU.
1. A quadratic function is given. f ( x ) = 3 x 2 − x + 6 What is f (2)? F 40 H 16 G 28 J 4.
Characteristics of Quadratics Projectiles/ Applications
Unit 3-1: Graphing Quadratic Functions Learning Target: I will graph a quadratic equation and label its key features.
Notes Over 1.1 Checking for Symmetry Check for symmetry with respect to both axis and the origin. To check for y-axis symmetry replace x with  x. Sym.
8.1 D Ellen and Tanzia entered a math contest where this year’s topic is scientific notation. They were given the following numbers and asked to: 387,000,000.
CHAPTER 10 LESSON OBJECTIVES. Objectives 10.1 Students will be able to: Identify quadratic functions and determine whether they have a minimum or maximum.
5-1 Graphing Quadratic Functions Algebra II CP. Vocabulary Quadratic function Quadratic term Linear term Constant term Parabola Axis of symmetry Vertex.
Algebra 2. Lesson 5-3 Graph y = (x + 1) 2 – Step 1:Graph the vertex (–1, –2). Draw the axis of symmetry x = –1. Step 2:Find another point. When.
Quadratic Functions. 1. The graph of a quadratic function is given. Choose which function would give you this graph:
Section 2.2 Graphs of Functions Objectives: Review Domain Find Domain from a graph. Graph piecewise functions.
Written by Chris Jackson, Ed.D.
Sec Graphing Quadratic Functions. Graph the following equations on 1 piece of graphing paper y = x + 1 y = 2x + 4.
Linear Equations in Two Variables
Objective 1.  Troy borrowed money from his father so that he could buy a used car. The table shows the remaining balance, b, of Troy’s loan after each.
A. B. C. D. 1. The line below is translated three units down. What is the slope of the new line?
Graphing Quadratic Functions. The graph of any Quadratic Function is a Parabola To graph a quadratic Function always find the following: y-intercept.
Identifying Quadratic Functions. The function y = x 2 is shown in the graph. Notice that the graph is not linear. This function is a quadratic function.
Algebraic Relationships Unit RateProportionality Graphs & Tables Equations
GRAPH QUADRATIC FUNCTIONS. FIND AND INTERPRET THE MAXIMUM AND MINIMUM VALUES OF A QUADRATIC FUNCTION. 5.1 Graphing Quadratic Functions.
Working With Different Types of Graphs. Linear graphs.
1.1 Graph of Equations How to sketch graphs
2.2 Graphs of Equations.
Mrs. Rivas
Warm Up /05/17 1. Evaluate x2 + 5x for x = -4 and x = 3. __; ___
Warm Up /31/17 1. Evaluate x2 + 5x for x = 4 and x = –3. __; ___
Mrs. Rivas
Chapter 4 Vocabulary Functions.
4.2 a Standard Form of a Quadratic Function
Algebra 2 Honors/Gifted Around the Room on Functions
Properties of Parabolas
Y Label each of the components of the parabola A: ________________ B: ________________ C: ________________ C B B 1 2.
Parabolas 4.2. Parabolas 4.2 Standard Form of Parabolic Equations Standard Form of Equation   Axis of Symmetry Vertex Direction Parabola Opens up or.
A B C D An artist studies human proportions in order to make realistic
parabola up down vertex Graph Quadratic Equations axis of symmetry
Quadratic Functions.
Quad Frame Vertex Name: For each equation:
Graphing Quadratic Functions (2.1.1)
Section 9.1 Day 4 Graphing Quadratic Functions
Unit 9 Review.
Translations & Transformations
Unit 6 Review Day 1 – Day 2 Class Quiz
Welcome: The graph of f(x) = |x – 3| – 6 is given below
Analysis of Absolute Value Functions Date:______________________
Warm up Graph the Function using a table Use x values -1,0,1,2,3
Quad Frame Vertex Name: For each equation:
Algebra 1 Warm Ups 12/11.
Algebra 1 Warm Ups 1/8.
Quadratic Functions and Equations Lesson 1: Graphing Quadratic Functions.
Presentation transcript:

Combine it All Together

A function is described by the equation f (x) = x2 + 5 A function is described by the equation f (x) = x2 + 5. The replacement set for the independent variable is {1, 5, 7, 12}. Which of the following is contained in the corresponding set for the dependent variable? A 0 B 6 C 7 D 15

Which equation could be used to generate this table of values? A y = −2x B y = 2x + 1 C y = x + 1 D y = x2 + 1

Vicki works as a salesclerk in a clothing store Vicki works as a salesclerk in a clothing store. She earns $10 per hour plus a commission of 6% of her total sales. Which equation represents e, her total earnings when she works h hours and sells a total of d dollars in merchandise?   A e = 10h + 0.06d B e = 10h + 0.6d C e = 6h + 10d D e = 0.06h + 10d

Troy borrowed money from his father so that he could buy a used car. The table shows the remaining balance, b, of Troy’s loan after each payment. Which function can be used to describe this relationship? A b = 3910 + 225p B b = 4135 − 225p C b = 2785 + 225p D b = 3685 − 225p

The height, h, of a football when kicked with respect to time, t, is described by the function h = −16t2 + 48t. Which graph shows the correct sketch of this function? A B

Jake studied the parabola shown below.   Which is an accurate conclusion that Jake could make about this parabola? A The vertex is at (−2, 0). B The minimum value is at (0, −4). C The maximum value is at (2, 0). D The axis of symmetry is the x-axis.

Which of the following represents the parent function of y = x2 − 2x − 15? A y = x B y = x2 − 15 C y = x2 D y = −2x

Which of the following are the domain and range for the graph shown below? A 0 ≤ x ≤ 4 0 ≤ y < 36 B 0 ≤ x ≤ 36 0.5 ≤ y ≤ 3.5 C 0.5 < x < 3.5 0 < y < 36 D 0.5 ≤ x ≤ 3.5 0 ≤ y ≤ 36

Which statement is true for the graph below? A Ms. Goodlett will earn $500 if she sells $5000 worth of merchandise. B Mr. Murphy will not earn any money if he does not sell any merchandise. C Mr. Lefeber will earn $1000 if he sells $1000 worth of merchandise. D Ms. Cho will earn $700 if she sells $5000 worth of merchandise.

Which equation best represents the area, A, of the rectangle below? A A = 2x + 2(x + c) B A = x2 + (x + c)2 C A = x(x + c) D A = 2x(x + c) x x + c