3.7 Begin by graphing the absolute value function, f(x) = |x|. Then use transformations of this graph tograph the given function.Ayg(x) = |x- 2|What transformations are needed in order to obtain the graph of g(x) from the graph of f(x)? Select allthat apply.14O A. Vertical shiftto1bO B. Horizontal shiftO C. Reflection about the y-axisO D. Horizontal stretch/shrinkO E. Reflection about the x-axisO F. Vertical stretch/shrink

Answered: Image /qna-images/answer/02b4ffae-3f4e-463e-9a25-3f91294e23a5.jpg

Answered: Begin by graphing the absolute value…

Begin by graphing the absolute value function, f(x) = |x|. Then use transformations of this graph to graph the given function. g(x) = |x- 2| .....

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.2: Graphs Of Functions

Problem 1E: To graph the function f, we plot the points (x,) in a coordinate plane. To graph f(x)=x22, we plot...

See similar textbooks

Related questions

Q: Begin by graphing the absolute value function, f(x) = lxl. Then use transformations of this graph to…

A: Given: The absolute graph function is, First draw the graph for the absolute value function.…

Q: Consider the graph of the function f (2) as shown on the coordinate grid. Which correctly describes…

A: Basically the question is based on the transformation of graphs ..

Q: Begin by graphing the absolute value function, f(x) = x. Then use transformations of this graph to…

A: x |x| 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 -1 -1 -2 -2 -3 -3 -4 -4 -5 -5 -6…

Q: Sketch the graph of the function defined by the formula 0 , x<-1 f(x) = |1– x² ,-1<x <1 x 2 1

A: Given: To determine: the graph of f(x)

Q: Which one is the graph of f(x)=x2? What is its domain?

Q: Find the open intervals on which the function is increasing or decreasing g(x) = (x + 1)3

A: We first find g'(x)

Q: Which of the following matches the graph of f(x) = 2(x − 1)(x + + 1)²(x + 2)?

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

Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: Given that, gx=9-x2, -2≤x≤3 The absolute maximum or minimum of any function occurs at its critical…

Q: Begin by graphing the absolute value function, f(x) = lxl. Then use transformations of this graph to…

Q: Graph the functions f(x) = 2x and g(x) = 2x – 3 in the same rectangular coordinate system. Select…

A: The graphs of the function f(x) = 2x and g(x) = 2x - 3 are as follows: The green line…

Q: Sketch the graph of the function given. (a) f(x) = 4x - x2 (b) g(x) = |4x - x2 |

A: Given: f(x)=4x-x2 g(x)=|4x-x2|

Q: Begin by graphing the absolute value function, f(x) = lxl. Then use transformations of this graph to…

A: We know that, x=x ,if x≥0-x , if x<0 So, using the above equation we will draw the…

Q: use the graphs of f and g to graphh(x) = ( f + g)(x).

Q: Begin by graphing the absolute value function, f(x) = lxl. Then use transformations of this graph to…

A: To draw graph of fx=xand gx=x+3

Q: Draw the graph of the function, f(x)=e^x

A: Givenf(x)=ex

Q: Find the points of inflection and discuss the concavity of the graph of the function.

A: Consider the following: Find first and second derivative:…

Q: In the given question, , use a graphing utility to graph the function and find the x-values at which…

A: Function: f(x)=4xx-3

Q: The graph of f(x) = -x² to the left and to the right.

A: fx=-x2 Since the leading coefficient is negative and degree is even, therefore the graph falls to…

Q: Find the domain and sketch the graph of the function g(x) = |x| -x

A: Given: gx=x-x first we simplify given function if, x≥0 then x=x and if, x<0 then x=-x so,…

Q: Begin by graphing the standard absolute value function f(x) = |x]. Then use transformations of this…

A: Given- f(x)=xh(x)=2x+2 To graph the standard absolute function and then to use transformations of…

Q: Sketch the graph of the function defined by the formula 0, x<-1 f(x) = /1- x² ,-1< x < 1 x 2 1

A: Given function, f(x)= 0 , x≤-11-x2 , -1<x<1 x , x≥1

Q: Use the graph of f(x) = |x| to graph g(x) = – |2x|.

A: To obtain the graph of y=-|2x| from that of y'|x| by using a sequence of transformations

Q: f (x) = - In (x + 1), Which graph shows the function

A: We need to find the graph of given function

Q: The graph of f'(x) is shown. Which graph would best represent the graph of f(x) ?

Q: Select the graph of the function. f(x) = In(x+9)

A: Given function, f(x) = ln(x+9) To be found : correct graph of function

Q: Begin by graphing the absolute value function, f(x) = |x|. Then use transformations of this graph to…

Q: Select the graph of the absolute value function. gx)=-|

Q: Given the Graph of the Function: f (x), explain how to obtain the graph of g (a) = -f (x+ 5) +1

A: Given that: Graph of f(x).

Q: Which is the graph of the function f ( x ) = { x 2 if x ≤ 1 x − 1 if x > 1 ?

A: Given function is fx=x2 ; if x≤1x-1; if x>1 Point of discontinuity for the given function is…

Q: For the function f(x) whose graph is shown, what is the value of f(4)?

Q: The graph y=f(x) is graphed below. What is the end behavior of f(x)?

Q: Begin by graphing the absolute value function, f(x) = lxl. Then use transformations of this graph to…

A: Given information: fx=x hx=-x-1+1

Q: Begin by graphing the absolute value function, f(x) = lxl. Then use transformations of this graph to…

A: Given- fx=x and gx=x+2-3 To find- The graph of the above two functions with help of the first…

Q: Begin by graphing the absolute value function, f(x) = lxl. Then use transformations of this graph to…

A: Given f(x) = lxl

Q: Given the functions - and g) -x-x determine the range of the combined function,

A: Domain : The set of value where function is defined. Range : The set of value of the function on…

Q: Determine where the graph of f(x) = |x - 3| is increasing and where it is decreasing.

A: To determine: The intervals where the function f(x)=x-3is increasing and decreasing. Given…

Q: Can i get help step by step?

A: To sketch the graph of the absolute value function.

Q: Let f(x) be the function graphed below. Solve: (a) f(x) > 0

A: From the given Graph of f(x) , We can conclude that- Graph is sketched on the interval (-8,9), So…

Q: Graph the function g (x) = 2** and give its domain and range using interval notation. 4- Domain: […

A: Explanation of the answer is as follows

Q: what are the steps to graphing f(x)=e^(-x/2)

A: Steps to graphing an exponential function: 1. Draw the graph of the general exponential function. 2.…

Q: Sketch the graph of the function by first making a table of values. H(x) = |3x| X -3 -2 -1 1 2 H(x)…

Q: Begin by graphing the absolute value function, f(x) = lxl. Then use transformations of this graph to…

A: To graph the absolute value function f(x) = x Then to graph the function g(x) = x + 4

Question

3.7

Begin by graphing the absolute value function, f(x) = |x|. Then use transformations of this graph to
graph the given function.
Ay
g(x) = |x- 2|
What transformations are needed in order to obtain the graph of g(x) from the graph of f(x)? Select all
that apply.
14
O A. Vertical shift
to
1b
O B. Horizontal shift
O C. Reflection about the y-axis
O D. Horizontal stretch/shrink
O E. Reflection about the x-axis
O F. Vertical stretch/shrink

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

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

(a) To obtain the graph of g(x)=2x1 , we start with the graph of f(x)=2x and shift it _____________ (upward/ downward) 1 unit. (b) To obtain the graph of h(x)=2x1 , we start with the graph of f(x)=2xand shift it to the (left/right) 1unit.
The graph of fx=1/x is a .
a To obtain the graph of g(x)=2x1, we start with the graph of f(x)=2x and shift it ________ upward/downward 1 unit. b To obtain the graph of h(x)=2x1, we start with the graph of f(x)=2x and shift it to the ___________ left/right 1 unit.
What is the composition of two functions, fg ?
Given the toolkit function f(x)=x2 , graph g(x)=-f(x)andh(x)=f(x) . Take note of any surprising behavior for these functions.
Graph the function f(x)=x36x215x+20 to estimate the local extrema of the function. Use these to determine the intervals on which the function is increasing and decreasing.
To graph the function f, we plot the points (x,) in a coordinate plane. To graph f(x)=x22, we plot the points (x,). So the point (3,) is on the graph of f. The height of the graph of f above the x-axis when x=3 is _______. Complete the table, and sketch a graph of f. x f(x) (x,y) 2 1 0 1 2
For the fallowing exercises, find the x- and y-intercepts of the graphs of each function. 15. f(x)=x9+16