1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
melisa1 [442]
3 years ago
8

Identify the function and all transformations of the function: f(x) = open vertical bar 3 left parenthesis x minus 2 right paren

thesis close vertical bar plus 5
Mathematics
1 answer:
sasho [114]3 years ago
5 0
\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\
% left side templates
\begin{array}{llll}
f(x)=&{{  A}}({{  B}}x+{{  C}})+{{  D}}
\\ \quad \\
y=&{{  A}}({{  B}}x+{{  C}})+{{  D}}
\\ \quad \\
f(x)=&{{  A}}\sqrt{{{  B}}x+{{  C}}}+{{  D}}
\\ \quad \\
f(x)=&{{  A}}(\mathbb{R})^{{{  B}}x+{{  C}}}+{{  D}}
\\ \quad \\
f(x)=&{{  A}} sin\left({{ B }}x+{{  C}}  \right)+{{  D}}
\end{array}\\\\
--------------------\\\\

\bf % template detailing
\bullet \textit{ stretches or shrinks horizontally by  } {{  A}}\cdot {{  B}}\\\\
\bullet \textit{ flips it upside-down if }{{  A}}\textit{ is negative}
\\\\
\bullet \textit{ horizontal shift by }\frac{{{  C}}}{{{  B}}}\\
\left. \qquad  \right. if\ \frac{{{  C}}}{{{  B}}}\textit{ is negative, to the right}\\\\
\left. \qquad  \right.  if\ \frac{{{  C}}}{{{  B}}}\textit{ is positive, to the left}\\\\

\bf \bullet \textit{ vertical shift by }{{  D}}\\
\left. \qquad  \right. if\ {{  D}}\textit{ is negative, downwards}\\\\
\left. \qquad  \right. if\ {{  D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{  B}}}

so.. let's see

\bf f(x)=|3(x-2)|+5\implies 
\begin{array}{lllccll}
f(x)=&1|&3x&-6|&+5\\
&\uparrow &\uparrow &\uparrow &\uparrow \\
&A&B&C&D
\end{array}

horizontal shift of C/B
shrinks by A*B
vertical shift by D
You might be interested in
A​ number, one-fifth of that​ number, and one-sixth of that number are added. the result is 82. what is the original​ number?
rusak2 [61]
X + .2x + .(1/6) x = 82
x = 60

5 0
3 years ago
What is 29 divided by 11​
dezoksy [38]

Answer:

2.63

Step-by-step explanation:

29/11=2.63

4 0
3 years ago
Read 2 more answers
The total cost to rent a row boat is $8 times the number of hours the boat is used. How long can you rent the boat for $176?​
MrMuchimi

Answer:

22 hours

Step-by-step explanation:

8•x= 176

Divide both sides by 8 and you get-

Y=22

3 0
3 years ago
Read 2 more answers
A jar of peanut butter weighs 7 ounces, and a jar of jelly weighs 4 ounces. If Karen buys 8 jars of peanut butter, how many jars
ad-work [718]
Karen will have to buy 14 jars to have an equal weight of peanut butter
7 0
3 years ago
4,139 divided by 14 equals what?
Anon25 [30]

Answer:

that would be 57,946

3 0
3 years ago
Read 2 more answers
Other questions:
  • There are 72 boys and 90 girls on the math team.For the next math competition, Mr.Johnson would like to arrange all of the stude
    7·2 answers
  • bob wants to lose weight. he currently weighs 220 pounds. on average he is losing 5 pounds per week by eating 1000 calories a da
    7·1 answer
  • I'm doing a practice, and I'm really confused by this question. Help would really be appreciated!!! **100 PTS!**
    8·2 answers
  • Solve for x: 0.25x+0.1x=9.8
    14·2 answers
  • Find the interquartile range (IQR) for the following data set:
    11·1 answer
  • Irene is cutting construction paper into rectangles for a project. She needs to cut one rectangle that is 8 inches × 13 1/2 inch
    11·1 answer
  • How do i graph this equation y=x+3
    6·1 answer
  • Plsss I need help ASAP
    14·2 answers
  • If b is the midpoint of ac<br> Ab = 2x and ac = 5x + 8<br> Find bc
    14·1 answer
  • A vector is in standard position, with its terminal point in the second quadrant and an x-coordinate of –5. The vector has a mag
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!