Starting with the graph of f(x) = 97, write the equation of the graph that results from a. reflecting f(x) about the x-axis and the y-axis. y = b. shifting f(x) 3 units downward. y = c. shifting f(x) 4 units right.

Starting with the graph of f(x) = 97, write the equation of the graph that results from a. reflecting f(x) about the x-axis and the y-axis. y = b. shifting f(x) 3 units downward. y = c. shifting f(x) 4 units right.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section: Chapter Questions

Problem 56RE: For the following exercises, write the equation for the standard function represented by each of the...

See similar textbooks

Related questions

Q: Starting with the graph of f(x)=9^x, write the equation of the graph that results from (a) shifting…

A: Starting with the graph of f(x)=9^x, write the equation of the graph that results

Q: Starting with the graph of f(x) = 4", write the equation of the graph that results from (a) shifting…

A: NOTE: Refresh your page if you can't see any equations. . the base function is . the graph of…

Q: Q3/ Sketch the graph of f(x) = x+1

Q: Starting with the graph of f(x) = 4°, write the equation of the graph that results from (a) shifting…

A: Given: f(x) = 4x

Q: Starting with the graph of f(x)=5^x, write the equation of the graph that results from a. shifting…

A: Transformation of graph

Q: Global defense spending stood at $1.44 trillion in 2009 and is projected to grow at the rate of…

A: Given: Global defence spending stood at $1.44 trillion in 2009. It is projected to grow at the rate…

Q: Starting with the graph of f(x) = 4ª, write the equation of the graph that results when: (a) f(x) is…

A: Here we have to use the concept of transformation of graphs.

Q: Starting with the graph of f(x) = 4", write the equation of the graph that results from a. shifting…

Q: Starting with the graph of f(x) = 7* , write the equation of the graph that results from (a)…

A: Given that: f(x)=7x

Q: Starting with the graph of f(x) = 4*, write the equation of the graph that results from (a) shifting…

A: solution:-

Q: Starting with the graph of f(x) 5", write the equation of the graph that results from (a) shifting…

A: (a) Plot the graph for f(x).

Q: Starting with the graph of f(x) = 4ª, write the equation of the graph that results from a. shifting…

Q: Starting with the graph of f(x) = 9ª, write the equation of the graph that results from %3D (a)…

A: Given : f(x) = 9x (a). Shifting ff(x) with 2 units upward :…

Q: Starting with the graph of f(x) = 6ª, write the equation of the graph that results when: (a) f(x) is…

Q: Starting with the graph of f(x) : 7", write the equation of the graph that results from (a) shifting…

A: graph of f(x)=7x

Q: Starting with the graph of f(x) = 4", write the equation of the graph that results from (a) shifting…

Q: Find an equation for the graph sketched below -6 f(z) -

Q: For the following exercise, sketch the graph of the equation. 43. g(x) = -

A: The function is f(x)=2x3-12

Q: Starting with the graph of f(æ) = 3ª, write the equation of the graph that results when: (a) f(x) is…

A: The basic function here is f(x)=3x

Q: Starting with the graph of f(x) = 2", write the equation of the graph that results from a. shifting…

A: NOTE: Refresh your page if you can't see any equations. . the base function is the graph of the is…

Q: Starting with the graph of f(x) = 9", write the equation of the graph that results from a. shifting…

A: In case of upward or downward shifting magnitude of function f(x) increase or decrease respectoiely…

Q: Starting with the graph of f(x) = 6", write the equation of the graph that results from a. shifting…

Q: Starting with the graph of f(x) = 2", write the equation of the graph that results from a. shifting…

A: Here , We have given a function [ f(x)= 2^x ] Now , we have to write the…

Q: Identify the level curve of the function g(x, y) гу — Зх for c— — 4. Write your answer in terms of y…

Q: Starting with the graph of f(x) = 2, write the equation of the graph that results from (a) shifting…

A: Given graph equation , f(x)=2x (a) shifting f(x) 1 units upward, y= f(x)+1 =2x+1. (b) shifting f(x)…

Q: Starting with the graph of f(x) = 9", write the equation of the graph that results when: (a) f(x) is…

A: f(x) = 9x a) f(x) is shifted 7 units downward, y = (9x - 7)

Q: Starting with the graph of f(x) = 5°, write the equation of the graph that results from a. shifting…

Q: Starting with the graph of f(x) = 5ª, write the equation of the graph that results from (a) shifting…

Q: Starting with the graph of f(z) = 7", write the equation of the graph that results from (a) shifting…

A: Use shifting property of graph

Q: The graph of s-f(t) represents the posltion of an object moving along a line at time t0 s in meters,…

A: We are given objects moving position on on the y axis.

Q: Starting with the graph of f(x) = 8*, write the equation of the graph that results from (a) shifting…

A: Here we use the formula for ' shifting p units upward= f(x)+p shifting p units left=f(x+1)…

Q: How would the graph of f(x) = ✔x be affected if it were changed to g(x) = -2✔x?

A: Because the 2 was multiplied with f(x), so f(x) will stretch vertically by a factor of 2. Because…

Q: Starting with the graph of f(æ) = 7", write the equation of the graph that results from (a) shifting…

A: When the graph is shifted a units to the upward then the function will be y=fx+a. When the graph is…

Q: Starting with the graph of f(x) = 6², write the equation of the graph that results from a. shifting…

A: Given: f(x) = 6x

Q: Starting with the graph of f(x) = 6², write the equation of the graph that results when: (a) f(x) is…

Q: Starting with the graph of f(x) = 3², write the equation of the graph that results from a. shifting…

Q: Starting with the graph of f(x)=6x, write the equation of the graph that results from (a) shifting…

A: Given: f(x) = 6x

Q: Starting with the graph of f(x) = 9ª, write the equation of the graph that results from (a) shifting…

Q: Starting with the graph of f(r) = 2", write the equation of the graph that results from a. shifting…

Q: Starting with the graph of f(x)=4^x, write the equation of the graph that results when: (a) f(x) is…

A: topic - transformation of function

Q: Starting with the graph of f(x) = 7", write the equation of the graph that results from (a) shifting…

A: Given f(x)=7x

Q: Starting with the graph of f(x) = 6*, write the equation of the graph that results from (a) shifting…

A: (a)

Q: Starting with the graph of f(x) = 7*, write the equation of the graph that results when: (a) f(x) is…

A: The given equation is f(x)=7x

Q: Starting with the graph of f(x) = 4", write the equation of the graph that results (a) f(æ) is…

Q: Starting with the graph of f(x) = 3", write the equation of the graph that results when: (a) f(x) is…

A: Given, f(x)=3x

Q: Starting with the graph of f(x) = 4", write the equation of the graph that results from %3D a.…

Q: Starting with the graph of f(x) = 9, write the equation of the graph that results from a. shifting…

A: The graph of y=f(x)-a shifts a units downward to the graph of y=f(x). Where a>0. The graph of…

Q: Starting with the graph of f(x) = 7*, write the equation of the graph that results from (a) shifting…

A: Given Data The equation is f(x) =7ˣ. (a) The y-axis is located in an upward direction, so the…

Concept explainers

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.

Question

Starting with the graph of f(x) = 97, write the equation of the graph that results from
a. reflecting f(x) about the x-axis and the y-axis.
y =
b. shifting f(x) 3 units downward.
y =
c. shifting f(x) 4 units right.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2: Concept Used

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Functions and Inverse Functions$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

Given f(x)=|x| , sketch a graph of h(x)=f(x-2)+4 .
For the fallowing exercises, find the x- and y-intercepts of the graphs of each function. 11. f(x)=2x+1+6
For the following exercises, consider this scenario: A town has an initial population of 75,000. It grows at a constantrate of 2,500 per year for 5 years. If the function P is graphed, find and interpret thex-and y-intercepts.
For the following exercises, consider this scenario: The number of people afflicted with the common cold in the winter months steadily decreased by 205 each year from 2005 until 2010. In 2005, 12,025 people were afflicted. If the function C is graphed, find and interpret the slope of the function.
For the following exercises, write the equation for the standard function represented by each of the graphs below.
For the following exercises, write the equation for the graphed function.
For the following exercises, consider this scenario: A town has an initial population of 75,000. It grows at a constant rate of 2,500 per year for 5 years. If the function P is graphed, find and interpret the slope of the function.
For the following exercises, consider this scenario: The weight of a newborn is 7.5 pounds. The baby gained one-half pound a month for its first year. If the function W is graphed, find and interpret the x-and y-intercepts.
For the following exercises, consider this scenario: The number of people afflicted with the common cold in the winter months steadily decreased by 205 each year from 2005 until 2010. In 2005, 12,025 people were afflicted. If the function C is graphed, find and interpret the x-and y-intercepts.
For the following exercises, consider this scenario: The number of people afflicted with the common cold in the winter months steadily decreased by 205 each year from 2.005 until 2010. In 2005, 12,025 people were afflicted. Find the linear function that models the number of people in?icted with the common cold, C, as a function of the year, t.
The graph of f(x)=3x is reflected about the y-axisand stretched verticallyby a factor of 4. What isthe equation of the new function, g(x) ? State itsy-intercept, domain, and range.
For the following exercises, use the graph in Figure 1 showing the profit, y, in thousands ofdollars, of a company ina given year, 1, where x represents years since 1980. 27. Find the linear function y, where y depends on x, the number of years since 1980.