“Parent” functions Linear.

Slides:



Advertisements
Similar presentations
Objective - To graph linear equations using the slope and y-intercept.
Advertisements

The table and graph suggest another method of graphing a linear equation. This method is based on two numbers. The SLOPE This is the coefficient of x.
Linear Equations Review. Find the slope and y intercept: y + x = -1.
Warm-Up Bamboo can grow very quickly. The graph models the growth of a bamboo plant. Find the point where the line crosses the vertical axis. What does.
4.2 Graphing Linear Functions Use tables and equations to graph linear functions.
Y -intercept ANSWER slope ANSWER Prerequisite Skills VOCABULARY CHECK Copy and complete the statement. ? In the equation y = mx + b, the value of m is.
Chapter 8 Quiz on Lessons 6 to 8 Get a whiteboard, marker, eraser, or graph paper, and ruler. What’s on the quiz? Copy this down.  Look at a graph and.
Section 1.2 Basics of Functions
8-3 & 8-4: Graphing Linear Functions Mr. Gallo. Graphing Linear Functions  Linear Function:  The graph of this function is a ____________ _______. 
5.3 Slope-Intercept Form I can write linear equations using slope-intercept form and graph linear equations in slope-intercept form.
EXAMPLE 5 Find the zeros of quadratic functions. Find the zeros of the function by rewriting the function in intercept form. a. y = x 2 – x – 12 b. y =
The animation is already done for you; just copy and paste the slide into your existing presentation.
Warm-up: 1.Find the slope that passes through the points (-5, -4) and (1, -2). 2.Use the graph to the right to find the slope that passes through the points.
1.6 A Library of Parent Functions Ex. 1 Write a linear function for which f(1) = 3 and f(4) = 0 First, find the slope. Next, use the point-slope form of.
Solving Linear Equations by Graphing (3-2) Objective: Solve equations by graphing. Estimate solutions to an equation by graphing.
Linear Relations and Functions B-3Slope. ACT WARM-UP Simplify 2(6x + 7) − 5(x + 3) Simplify 2(6x + 7) − 5(x + 3) A) 7x − 1B) 7x + 1C) 7x + 19 D) 17x −
Graphing Lines Using Slope-Intercept Form
Slope Intercept form. Geometry Unit 2-3, 2-4 Equations of lines Parallel and perpendicular slopes.
Review of Slope Intercept Form
Given Slope & y-Intercept
1.3 Graphs of Functions.
Family of Functions: A set of functions whose graphs have basic characteristics in common. For example, all linear functions form a family because all.
Sketch the graph/ Write the equation YoungMath Presents
F-IF.C.7a: Graphing a Line using Slope-Intercept, Part 2
ALGEBRA II ALGEBRA II HONORS/GIFTED - SECTION 2-3 (Linear Functions and Slope-Intercept Form) 7/16/2018 ALGEBRA II SECTION.
STANDARD FORM OF A LINEAR EQUATION
Warm Up – August 21, 2017 Find the x- and y-intercepts. X – 3y = 9
6.6 Transforming Linear Functions
4.5: Graphing Equations of Lines
5-Minute Check Lesson 1-3A
6.7 Writing Linear Functions
College Algebra Chapter 2 Functions and Graphs
2.4 Library of Functions, Piecewise-Defined Functions
2.4 Library of Functions, Piecewise-Defined Functions
Calculating Slope From Graphs
Equations of Lines in the Coordinate Plane
Lesson 4-10 Transforming Linear Function
Slope and Graphing.
Identifying Graphs of Linear Equations
PARENT GRAPH FOR LINEAR EQUATIONS
Warm Up Graph the following y= x4 (x + 3)2 (x – 4)5 (x – 3)
5.3: Slope-Intercept Form
Parallel and Perpendicular Lines
Parent Functions.
Forms of Equations Intercepts Parallel & Perpendicular Linear Graphs
Warm Up Graph the following y= x4 (x + 3)2 (x – 4)5 (x – 3)
EXIT TICKET: Graphing Linear Equations 11/17/2016
Parent Functions.
Name:______________________________
Write the equation for the following slope and y-intercept:
TRANSFORMING LINEAR FUNCTIONS
Graph 2x + 4y = 16 by finding the x and y intercepts.
2-4: Writing Linear Equations Using Slope Intercept Form
Predicting Changes in Graphs
1.1 Summation.
2.4 Library of Functions, Piecewise-Defined Functions
 .
please quietly copy onto your class notebook
5 Minute Check 1-4 Graph the equation : 2x + y – 4 = 0
LINEAR & QUADRATIC GRAPHS
Understanding Slope.
Objectives: To graph lines using the slope-intercept equation
Writing Rules for Linear Functions Pages
9.4 Absolute Value Functions and Graphs
Chapter 4 Review.
Check even answersp.23: / /3 28. none
Slope Graphing Day 2.
1: Slope from Equations Y = 8x – 4 B) y = 6 – 7x
Demo Slide.
TRANSFORMING LINEAR FUNCTIONS
Presentation transcript:

“Parent” functions Linear

Do you think they look alike?

Parent functions in math… Parent function- the “original” graph; usually the simplest one in the “family” “baby function”-similar to the parent but not an exact copy

Parent for linear functions: f(x)= x +0 We usually do not write the zero.

“Parent” “Baby” What is the y intercept?______ Graph: f(x) = x + 1 Graph: f(x) = x What is the y intercept?______ Is the slope positive or negative?_________ What is the y intercept? ____________ How is f(x)=x+1 different from f(x)=x?_________________________ How is it the same? ____________________________

“Parent” “Baby” How is f(x)=x – 3 different from Graph: f(x) = x Graph: f(x) = x – 3 How is f(x)=x – 3 different from f(x)= x ?___________________ How is it the same?__________________________

“Parent” “Baby” Graph: f(x) =2x + 3 Graph: f(x) = x How is f(x)= 2x + 3 different from f(x) = x?________________ _______________________________________________________ How is it the same? _____________________

One Minute Paper: Summarize what you have learned about building new functions. ____________________________________________ ____________________________________________ ____________________________________________ ____________________________________________ ____________________________________________ ____________________________________________ ____________________________________________ ____________________________________________