The transformation of a function f(x) into a function g(x) is given by g(a) Af(BaH)Kwhere the constantsA vertically scales the function. (negative A reflects the function about the x-axis.)B horizontally scales the function. (negative B reflects the function about the y-axis.)H horizontally shifts the function.. K vertically shifts the function.Transform f() into g() where the transformation is g(z) f 1)The function f(x) is shown below in red. Graph the transformed function g(z) by first placing a dot at eacfunction and then click on the "line segment" button and connect the two blue dots. (Hint: Use pattern-matcconstants A, B, H, and K.)5-26 -5 4 3 2 12 3 4 5 6Clear All Draw·Dot LineSegmentpe here to searchCortanaQuick KeyWindows 10 onlyPMF2ovgF4F610

Question
Asked May 1, 2019
122 views

Disregard the last bottom part. Please help with drawing the graph of what it’s asking in the top. Thanks. 

The transformation of a function f(x) into a function g(x) is given by g(a) Af(BaH)
K
where the constants
A vertically scales the function. (negative A reflects the function about the x-axis.)
B horizontally scales the function. (negative B reflects the function about the y-axis.)
H horizontally shifts the function.
. K vertically shifts the function.
Transform f() into g() where the transformation is g(z) f 1)
The function f(x) is shown below in red. Graph the transformed function g(z) by first placing a dot at eac
function and then click on the "line segment" button and connect the two blue dots. (Hint: Use pattern-matc
constants A, B, H, and K.)
5-
2
6 -5 4 3 2 12 3 4 5 6
Clear All Draw·Dot LineSegment
pe here to search
Cortana
Quick Key
Windows 10 only
PM
F2
ovg
F4
F6
10
help_outline

Image Transcriptionclose

The transformation of a function f(x) into a function g(x) is given by g(a) Af(BaH) K where the constants A vertically scales the function. (negative A reflects the function about the x-axis.) B horizontally scales the function. (negative B reflects the function about the y-axis.) H horizontally shifts the function. . K vertically shifts the function. Transform f() into g() where the transformation is g(z) f 1) The function f(x) is shown below in red. Graph the transformed function g(z) by first placing a dot at eac function and then click on the "line segment" button and connect the two blue dots. (Hint: Use pattern-matc constants A, B, H, and K.) 5- 2 6 -5 4 3 2 12 3 4 5 6 Clear All Draw·Dot LineSegment pe here to search Cortana Quick Key Windows 10 only PM F2 ovg F4 F6 10

fullscreen
check_circle

Expert Answer

Step 1

Given graph is:

fullscreen
Step 2

In the transformation of the function g (x) = Af (Bx + H) + K

A scales the function vertically, B scales the function horizontally, H shifts the function horizontally and K shifts the function vertically.

 

In the given transformation g (x) = f (x + 1),

A = 1, B = 1, H = 1 and K = 0.

Since A and B represent scaling and the scaling factor here is 1, the graph is not scaled.

Since K is 0, the graph does not shift vertically.

But as H is 1, the graph shifts one unit to the left.

Step 3

The points on the given graph of f (x) are (0,0) and (-1,2)

So after transformation, the points are (-1,0) and (-2,2)

Join...

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Algebra

Other

Related Algebra Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: Solve and graph the solution on a number line: x-3>1

A: We are given an inequality as 

question_answer

Q: 18) Given the function: f(x) 2x-1 if 1<x<3 a) What is the domain of f(x)? b Evaluate f(0) and fl) c)...

A: The function is given by,

question_answer

Q: O SYSTEMS OF LINEAR EQUATIONS Paul Solving a value mixture problem using a system of linear equ Espa...

A: It is given that the first car has fuel efficiency of 20 miles per gallon of gas and the second car ...

question_answer

Q: #21 and #22

A: Since you have submitted two questions, we'll answer the first question. For the second question ple...

question_answer

Q: what are the steps to solve an equation of quadratic type:2X+9√X=5

A: Given,  

question_answer

Q: #25 The speed of a plane in still air is 280 mph. Flying against the wind, it can fly 600 mi in the ...

A: Le the speed of wind is x miles/hour. The speed of the plane in still air  is 280 mph\'. Then speed ...

question_answer

Q: The points ​(-4​,-4​) and ​(3​,6​) are the endpoints of the diameter of a circle. Find the length of...

A: The distance between two points (x1,y1) and (x2,y2) is given by:Given points are (x1,y1) = (-4​,-4​)...

question_answer

Q: Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worke...

A: Let the first mechanic charged $x per hour. And the second mechanic charged $y per hour. Given that ...

question_answer

Q: Question: consider the function f(x)=3^x-1 graph showing the asymptote

A: The given function is f (x) = 3x–1.