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
lara [203]
3 years ago
12

Y = x^2 undergoes a horizontal stretch by a factor of 1/3 , then a shift up of 4 units.

Mathematics
1 answer:
taurus [48]3 years ago
4 0
\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\

\begin{array}{rllll} 
% left side templates
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 \begin{array}{llll}
% right side info
\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}}}\\
\qquad  if\ \frac{{{  C}}}{{{  B}}}\textit{ is negative, to the right}\\\\
\qquad  if\ \frac{{{  C}}}{{{  B}}}\textit{ is positive, to the left}\\\\
\end{array}

\bf \begin{array}{llll}


\bullet \textit{ vertical shift by }{{  D}}\\
\qquad if\ {{  D}}\textit{ is negative, downwards}\\\\
\qquad if\ {{  D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{  B}}}
\end{array}

now, with that template in mind, let's see this one

a horizontal stretch of 1/3, meaning AB is 3... so... A = 3, and B =1 will do

shift UP of 4 units, meaning D = 4

\bf y=x^2\implies 
\begin{array}{lllll}
y=&1&(1x&+0)^2&+0\\
&\uparrow &\ \uparrow &\ \uparrow &\uparrow \\
&A&B&C&D
\end{array}
You might be interested in
I have 30 minutes to complete this and im stuck so pls help out
dimaraw [331]

Answer:

130

Step-by-step explanation:

its basically the same thing

7 0
3 years ago
Read 2 more answers
N is an integer and - 2<n+3<4, write down the possible values of n from smallest to largest​
Korolek [52]

Answer:

- 4, - 3, - 2, - 1, 0

Step-by-step explanation:

Given

- 2 < n + 3 < 4 ( subtract 3 from each interval )

- 5 < n < 1

This indicates that n ≠ - 5, 1 but all values in between, that is

n = - 4, - 3, - 2, - 1, 0 ← possible values of n

4 0
3 years ago
If the outside temperature was 72 yesterday and today is 16 degrees cooler what is today's temperature
Natalija [7]

Answer:

56 degrees Fahrenheit

5 0
3 years ago
Read 2 more answers
Which is the area of the rectangle?<br> 69<br> 115<br> 100
Burka [1]

Answer:

A

Step-by-step explanation:

3 0
3 years ago
Select all quantities that are proportional to the diagonal length of a square.
horsena [70]

Answer:

B. Perimeter of a square and

C. Side length of a square​

Step-by-step explanation:

if n= side length of square then

  • Area of square is n^{2}
  • Perimeter of a square is 4×n
  • diagonal length of a square is \sqrt{2} × n

Thus,

Perimeter of square can be expressed as

2\sqrt{2}×diagonal length of a square

Side length of a square can be expressed as

\frac{1}{\sqrt{2} }×diagonal length of a square

but Area of square is

\frac{1}{\sqrt{2} }×n×diagonal length of a square

As a Result,  Area of square is <em>also dependent of the value n</em>, wheras in other cases it is <em>a proportion of diagonal length of a square</em>

5 0
3 years ago
Other questions:
  • What is the approximate length of a pendulum that takes 2.4 pi seconds to swing back and forth?
    9·1 answer
  • What is the solution of 15+x=-2
    9·2 answers
  • 45mintutes 15mintues next 30minutes until 6:00
    5·1 answer
  • What is the inverse of f(x)=(x−5)^2 for x≥5 where function g is the inverse of function f?
    14·2 answers
  • Can you help me will mark brainlyist
    13·1 answer
  • How to convert a whole base 10 number to another base?
    13·1 answer
  • I have forgotten how to math? help? brainlest to first correct answer.
    8·1 answer
  • simplify:<br><br> 7r + 10 - 2(2r + 3s - 5t) + 2(4s - t) + 5?
    7·2 answers
  • X+9=3<br><br>please help ASAP​
    7·2 answers
  • You are about to list your house as For Sale By Owner. Suppose you need to allow
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!