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
A mahogany desk with a cash price of $810 is offered on the installment plan at $50 down and $58 per month for 15 months. What i
Sergio039 [100]
Total cost
50+(58×15)
=920
5 0
3 years ago
Read 2 more answers
The circle below is centered at the point (-1, 2) and has a radius of length 3.
elena-s [515]
A x.+ 2 it’s a I got it right on my quiz
7 0
3 years ago
Jamie purchased a DVD that was on sale for 15% off. The sales tax in her county is 5%. Let y represent the original price of the
Triss [41]

Answer:

1.05(0.85y)

Step-by-step explanation:

15% off so .85y and a 5% tax so 1.05(.85y)

6 0
3 years ago
Read 2 more answers
CAN YOU HELP ME PLEASE!!
timama [110]
1. 20 cm by 20 cm by 6 cm
2. 40 cm by 30 cm by 2 cm
Hope this helps
8 0
3 years ago
S is inversely proportional to t<br> When s = 0.5, t = 7<br> Work out s when t = 0.8
defon

Given:

s is inversely proportional to t.

When s = 0.5, t = 7.

To find:

The value of s when t=0.8.

Solution:

s is inversely proportional to t.

s\propto \dfrac{1}{t}

s=\dfrac{k}{t}       ...(i)

Where, k is the constant of proportionality.

Putting s=0.5 and t=7, we get

0.5=\dfrac{k}{7}

0.5\times 7=k

3.5=k

Putting k=3.5 in (i), we get

s=\dfrac{3.5}{t}

This is the equation of proportionality.

Putting t=0.8, we get

s=\dfrac{3.5}{0.8}

s=4.375&#10;

Therefore, the value of s is 4.375 when t=0.8.

5 0
3 years ago
Other questions:
  • The bases of a trapezoid are 11 meters and 14 meters. It’s height is 10 meters. What is the area of the trapezoid
    13·1 answer
  • At Britney's Beading Boutique, 60% of the 85 beads on clearance are plastic. How many plastic beads are there on clearance?
    9·1 answer
  • Anybody please help me :( on my last question
    7·1 answer
  • You give up a full time salary of $45,000 a year to go to school for two years that cost $30,000, to recover your investment in
    6·1 answer
  • The mobile company charges $180 for an hour of service. How many dollars are customers charged every minute?
    12·2 answers
  • What is the Interquartile Range?
    5·2 answers
  • Name five places you can find the golden ratio. Your answers can be in architecture, art, or nature.
    11·1 answer
  • Multiple choice pleasee hellpp
    7·2 answers
  • How many four-digit numbers are there for which the product of the digits is equal to 240?
    9·1 answer
  • Need help please quick
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!