EXPLAIN PLEASE HSHSJJS

write a function g whose graph represents a translation 2 units to the right followed by a horizontal stretch by a factor or 2 o

Alenkinab [10]

$\bf f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
y=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}}\\\\
f(x)=&{{ A}} \left|{{ B }}x+{{ C}} \right|+{{ D}}
\\\\
--------------------\\\\$

$\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\
\left. \qquad \right. \textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\
\left. \qquad \right. \textit{reflection over the y-axis}$

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

with that template in mind, let's see,

$\bf f(x)=|x| \implies \begin{array}{lllccll}
f(x)=&1|&1x&+0|&+0\\
&\uparrow &\uparrow &\uparrow &\uparrow \\
&A&B&C&D
\end{array}$

so, to shift it to the right by 2 units, simply set C = 2.
to stretch it by 2, set A = 1/2.

the smaller A is, the wider it opens, the larger it is, the more it shrinks.

5 0

3 years ago

A company makes cylindrical crackers that have a cylindrical hole in the middle.

VMariaS [17]

I have the best ans and that is

4 0

3 years ago

Sam invests $800 at 6%/a compounded annually for 5 years. What is the total interest<br> earned?

s2008m [1.1K]

<h3>Answer: 270.58 dollars</h3>

======================================================

Work Shown:

A = account value after t years
P = principal or amount deposited = 800
r = interest rate in decimal form = 0.06
n = number of times we compound per year = 1
t = number of years = 5

So,

A = P*(1+r/n)^(n*t)

A = 800*(1+0.06/1)^(1*5)

A = 1070.58046208

A = 1070.58

After five years, the account will have $1,070.58 in it.

The amount of interest earned is A-P = 1070.58 - 800 = 270.58 dollars.

4 0

2 years ago

Can someone please help me with this

Lubov Fominskaja [6]

Answer:

10) C

11) A

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Find two consecutive integers whose sum is 95.<br><br> Let Statement(s) Equation/Solve Answer(s)

Gre4nikov [31]

47 and 48 are the integers.

Step-by-step explanation:

Let,

x and x+1 be the integers, therefore, according to statement;

$x+(x+1)=95\\x+x+1=95\\2x+1=95\\2x=95-1\\2x=94\\Dividing\ both\ sides\ by\ 2\\\frac{2x}{2}=\frac{94}{2}\\x=47$

2nd Integer = x+1

2nd Integer = 47+1

2nd integer = 48

47 and 48 are the integers.

Keywords: Addition

Learn more about addition at:

#LearnwithBrainly

4 0

3 years ago