Homework Help is Here – Start Your Trial Now!
Math
Algebra
Part II: Finding the new equation. For each set of problems write the equation for the function that results from each transformation applied to the parent function. (1) f(x) = 4* (a) Reflected about the x-axis (c) Shifted 3 up (b) Reflected about the y-axis (d) Shifted 4 down

Part II: Finding the new equation. For each set of problems write the equation for the function that results from each transformation applied to the parent function. (1) f(x) = 4* (a) Reflected about the x-axis (c) Shifted 3 up (b) Reflected about the y-axis (d) Shifted 4 down

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
See similar textbooks
icon
Related questions
Question
need help!
**Part II: Finding the New Equation** For each set of problems, write the equation for the function that results from each transformation applied to the parent function. **(1) \( f(x) = 4^x \)** - (a) Reflected about the x-axis - (b) Reflected about the y-axis - (c) Shifted 3 up - (d) Shifted 4 down **(2) \( f(x) = 3^x \)** - (a) Shifted 4 to the left - (b) Shifted 4 to the right - (c) Stretched by a factor of 5 - (d) Shifted 2 down and 1 to the left **(3) \( f(x) = 8^x \)** - (a) Reflected about the y-axis & shifted 2 up - (b) Reflected about the x-axis & shifted 3 to the left - (c) Reflected about the x and y axes - (d) Shifted 3 up and 4 to the right --- **Graph Description** Given the graph below, sketch the graph if you shifted it 2 up and reflected about the y-axis. - The left graph is a standard exponential function \( y = a^x \) with a marked point at (1, 3) and passing through the origin (0, 0). It also includes a point at (-1, 0.75). - The right graph is a blank grid where you would sketch the transformed graph based on the instructions provided (shifted 2 up and reflected about the y-axis).
Transcribed Image Text:**Part II: Finding the New Equation** For each set of problems, write the equation for the function that results from each transformation applied to the parent function. **(1) \( f(x) = 4^x \)** - (a) Reflected about the x-axis - (b) Reflected about the y-axis - (c) Shifted 3 up - (d) Shifted 4 down **(2) \( f(x) = 3^x \)** - (a) Shifted 4 to the left - (b) Shifted 4 to the right - (c) Stretched by a factor of 5 - (d) Shifted 2 down and 1 to the left **(3) \( f(x) = 8^x \)** - (a) Reflected about the y-axis & shifted 2 up - (b) Reflected about the x-axis & shifted 3 to the left - (c) Reflected about the x and y axes - (d) Shifted 3 up and 4 to the right --- **Graph Description** Given the graph below, sketch the graph if you shifted it 2 up and reflected about the y-axis. - The left graph is a standard exponential function \( y = a^x \) with a marked point at (1, 3) and passing through the origin (0, 0). It also includes a point at (-1, 0.75). - The right graph is a blank grid where you would sketch the transformed graph based on the instructions provided (shifted 2 up and reflected about the y-axis).
Expert Solution
Step 1

Note:-

Since you have asked multiple question As per our policy, we will solve the first question for you. If you want any specific question to be solved then please specify the question number or post only that question

Given function:-

fx=4x

steps

Step by step

Solved in 7 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education
SEE MORE TEXTBOOKS