Radical Functions Section 5-7. Friday, 2/5: Exponent Rules Quiz 5.8: Solving Radical Equations Tuesday, 2/9: Chap 5B (Radicals) Review Thursday, 2/11:

Slides:



Advertisements
Similar presentations
1.4 – Shifting, Reflecting, and Stretching Graphs
Advertisements

Parent Function Transformation Students will be able to find determine the parent function or the transformed function given a function or graph.
Unit 3 Functions (Linear and Exponentials)
Unit 3 Functions (Linear and Exponentials)
Transformation of Functions Section 1.6. Objectives Describe a transformed function given by an equation in words. Given a transformed common function,
Section 1.6 Transformation of Functions
Essential Question: In the equation f(x) = a(x-h) + k what do each of the letters do to the graph?
Table of Contents Functions: Transformations of Graphs Vertical Translation: The graph of f(x) + k appears.
Graphical Transformations!!! Sec. 1.5a is amazing!!!
Section 11.2 Notes Writing the equations of exponential and logarithmic functions given the transformations to a parent function.
Section 3.2 Notes Writing the equation of a function given the transformations to a parent function.
1 The graphs of many functions are transformations of the graphs of very basic functions. The graph of y = –x 2 is the reflection of the graph of y = x.
Transformation of Functions Recognize graphs of common functions Use shifts to graph functions Use reflections to graph functions Use stretching & shrinking.
Radical Functions 8-7 Warm Up Lesson Presentation Lesson Quiz
Warm Up Identify the domain and range of each function.
2.2 b Writing equations in vertex form
4 minutes Warm-Up Identify each transformation of the parent function f(x) = x2. 1) f(x) = x ) f(x) = (x + 5)2 3) f(x) = 5x2 4) f(x) = -5x2 5)
10/11/ :27 AM8-7: Square Root Graphs1 SQUARE ROOT Functions Radical functions.
Objective: Students will be able to graph and transform radical functions.
6-8 Graphing Radical Functions
Standards for Radical Functions MM1A2a. Simplify algebraic and numeric expressions involving square root. MM1A2b. Perform operations with square roots.
CHAPTER Solving radicals.
An absolute-value function is a function whose rule contains an absolute-value expression. The graph of the parent absolute-value function f(x) = |x| has.
Graphing Reciprocal Functions
Absolute–Value Functions
Graph and transform absolute-value functions.
3.4 Graphs and Transformations
Chapter 2 Functions and Graphs Section 2 Elementary Functions: Graphs and Transformations.
Section 3.5 Graphing Techniques: Transformations.
M3U6D1 Warm Up Identify the domain and range of each function. D: R ; R:{y|y ≥2} 1. f(x) = x D: R ; R: R 2. f(x) = 3x 3 Use the description to write.
Math-3 Lesson 1-3 Quadratic, Absolute Value and Square Root Functions
The absolute-value parent function is composed of two linear pieces, one with a slope of –1 and one with a slope of 1. In Lesson 2-6, you transformed linear.
2.5 Shifting, Reflecting, and Stretching Graphs. Shifting Graphs Digital Lesson.
 .
Transformation of Functions Sec. 1.7 Objective You will learn how to identify and graph transformations.
Transformations of Linear and Absolute Value Functions
Objective: I can understand transformations of functions.
Warm Up Give the coordinates of each transformation of (2, –3). 4. reflection across the y-axis (–2, –3) 5. f(x) = 3(x + 5) – 1 6. f(x) = x 2 + 4x Evaluate.
Review of Transformations and Graphing Absolute Value
Holt McDougal Algebra 2 Radical Functions Graph radical functions and inequalities. Transform radical functions by changing parameters. Objectives.
Vocabulary The distance to 0 on the number line. Absolute value 1.9Graph Absolute Value Functions Transformations of the parent function f (x) = |x|.
1. g(x) = -x g(x) = x 2 – 2 3. g(x)= 2 – 0.2x 4. g(x) = 2|x| – 2 5. g(x) = 2.2(x+ 2) 2 Algebra II 1.
Section 9.3 Day 1 Transformations of Quadratic Functions
Section 1.4 Transformations and Operations on Functions.
QUIZ Wednesday June 10 th (6 questions) Section 1.6 (from ppt) Naming parent functions and writing the domain and range. (3 questions) Graphing functions,
2.6 Families of Functions Sets of functions, called families, in what each function is a transformation of a special function called the parent. Linear.
Entry Task. 2.6 Families of Functions Learning Target: I can analyze and describe transformations of functions Success Criteria: I can describe the effect.
Section 2.5 Transformations Copyright ©2013, 2009, 2006, 2001 Pearson Education, Inc.
Warm-Up Evaluate each expression for x = -2. 1) (x – 6) 2 4 minutes 2) x ) 7x 2 4) (7x) 2 5) -x 2 6) (-x) 2 7) -3x ) -(3x – 1) 2.
Section 1-5 Graphical Transformations. Section 1-5 vertical and horizontal translations vertical and horizontal translations reflections across the axes.
Radical Functions and Equations ( 무리함수 ) Radical sign index The term is called a radical. The symbol is called a radical sign(sometimes just called radical.
Radical Functions.
Transforming Linear Functions
College Algebra Chapter 2 Functions and Graphs Section 2.6 Transformations of Graphs.
Transforming Linear Functions
2.6 Families of Functions Learning goals
Warm Up Use the description to write the quadratic function g based on the parent function f(x) = x2. 1. f is translated 3 units up. g(x) = x
Absolute Value Functions
2.6 Translations and Families of Functions
Warm Up Use the description to write the quadratic function g based on the parent function f(x) = x2. 1. f is translated 3 units up. g(x) = x
Warm Up Use the description to write the quadratic function g based on the parent function f(x) = x2. 1. f is translated 3 units up. g(x) = x
Pre-AP Pre-Calculus Chapter 1, Section 6
Worksheet Key 1/1/2019 8:06 AM 6.2: Square Root Graphs.
Warm Up Use the description to write the quadratic function g based on the parent function f(x) = x2. 1. f is translated 3 units up. g(x) = x
1.5b Combining Transformations
SQUARE ROOT Functions 4/6/2019 4:09 PM 8-7: Square Root Graphs.
SQUARE ROOT Functions Radical functions
The graph below is a transformation of which parent function?
Warm up honors algebra 2 3/1/19
Presentation transcript:

Radical Functions Section 5-7

Friday, 2/5: Exponent Rules Quiz 5.8: Solving Radical Equations Tuesday, 2/9: Chap 5B (Radicals) Review Thursday, 2/11: Chap 5B Test

Square Root Functions x y y x Parent Function.

Transformations **Compression means the same thing as shrink

More on Transformations **Compression means the same thing as shrink

Example 1: Transforming Square-Root Functions Translate f 5 units up.

Example 2

Example 3: Applying Multiple Transformations Reflect f across the x-axis, and translate it 4 units to the right.

g is f reflected across the y-axis and translated 3 units up. ● ● Example 4

Vertical stretch by a factor of 3, reflected across the x-axis, and translated 1 unit down. ● ● Example 5

Writing Transformed Square-Root Functions

Example Continued Step 2 Write the transformed function. Simplify. 1 5 g(x) =  x + ( 5)      

Example 6: Write the function The parent square-root function is stretched horizontally by a factor of 2, reflected across the y-axis, and translated 3 units left

Friday, 2/5: Exponent Rules Quiz 5.8: Solving Radical Equations Tuesday, 2/9: Chap 5B (Radicals) Review Thursday, 2/11: Chap 5B Test

Classwork/Homework Classwork: 5.7 Worksheet Homework: 5.6: p 363: # odd 5.7: p 372: # odd