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
icang [17]
3 years ago
13

Write and equation for the shift of the parent graph y=1/x

Mathematics
1 answer:
SashulF [63]3 years ago
7 0
You can think of this equation as \bf f(x)=\cfrac{1}{x}\implies f(x)=(x)^{-1}

and thus apply the transformations to it as such

\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 \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}}}

1)  D = 2, C = +3

2) D = -12, C = -2

3) C = +6, D = 3

4) C = -7, D = -7
You might be interested in
Find the inverse of y=1/2x+6
Komok [63]

Answer:

y = 2x - 12

Step-by-step explanation:

We want to find the inverse of

y =  \frac{1}{2}x + 6

We interchange x and y.

x =  \frac{1}{2}y + 6

We need to solve for y, so let us multiply through by 2.

2x = y + 12

Subtract 6 from both sides.

y = 2x - 12

Therefore the required inverse is

y = 2x  - 12

3 0
3 years ago
Help plis <br><br><br><br><br> 17. Find the sum of (10x + 3) and (- 4x - 2).
OLEGan [10]

Answer:

6x + 1

Step-by-step explanation:

1. (10x + 3) + (-4x -2) --> sum means to add.

2. Combine like terms --> 10x - 4x = 6x; 3 - 2 = 1.

3. 6x + 1

4 0
2 years ago
Read 2 more answers
An item costs S430 before tax, and the sales tax is $17.20.
Ronch [10]

Answer:

Step-by-step explanation:

430

x4%

_________

$17.20+ $430= $447.20

5 0
3 years ago
Please please help me it's for my homework ​
serg [7]

Answer:

6/25

Step-by-step explanation:

.24 = 24/100 = 6/25

3 0
3 years ago
Read 2 more answers
george completed 3/5th of work in 9 days with the help of paul he completes remaining work in 4 days.In how many days paul alone
IRINA_888 [86]
If George completed 3/5 of work in 9 days, it means that he needs 3 days to finish 1/5th of the work.

The remaining part is 2/5 because 1-3/5=2/5. 2/5 is also 6/15

From this, how much did George do? in the first 3 days he did 1/5th and then one more day was left, during which he did 1/5/3=1/15th.

So he did in total 1/15+1/5=1/15+3/15=4/15.
this means that Paul did the rest of 6/15, so Paul did 6/15-4/15=2/15.

So we know that he does 2/15 in 4 days, which means that every two days he can do 1/15 of the work

so he would need 15 times 2 days to finish the work - 30 days!
6 0
3 years ago
Other questions:
  • Which mathematical term cannot be defined for all cases in a system of geometry?
    5·1 answer
  • Simplify before multiplying 3/5×10
    9·1 answer
  • Help me guys again plz and thank you ! (:
    5·1 answer
  • What is the circumference of the can if the radius is .5 inches
    9·1 answer
  • When the system is executed, the system crashes with probability 0.05 if only Module A fails. The system crashes with probabilit
    6·1 answer
  • F(x) = x2. What is g(x)?<br>g(x)<br>(1,9)<br>f(x) <br>​
    11·1 answer
  • Whats this surface area?
    6·2 answers
  • Can I have some help please​
    8·1 answer
  • What are all the signs that indicate the use of an open circle when graphing ?
    8·1 answer
  • 2a-3b for a= 1/2 and b =6
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!