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timofeeve [1]
3 years ago
14

Suppose f(x) = x³ . find the graph of f(x+5)

Mathematics
2 answers:
Ganezh [65]3 years ago
5 0
\bf ~~~~~~~~~~~~\textit{function transformations}
\\\\\\
% templates
f(x)=  A(  Bx+  C)+  D
\\\\
~~~~y=  A(  Bx+  C)+  D
\\\\
f(x)=  A\sqrt{  Bx+  C}+  D
\\\\
f(x)=  A(\mathbb{R})^{  Bx+  C}+  D
\\\\
f(x)=  A sin\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}\\
~~~~~~\textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if }  B\textit{ is negative}

\bf ~~~~~~\textit{reflection over the y-axis}
\\\\
\bullet \textit{ horizontal shift by }\frac{  C}{  B}\\
~~~~~~if\ \frac{  C}{  B}\textit{ is negative, to the right}\\\\
~~~~~~if\ \frac{  C}{  B}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by }  D\\
~~~~~~if\   D\textit{ is negative, downwards}\\\\
~~~~~~if\   D\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{  B}

and with that template in mind,

notice from a parent function of   f(x) = x³,
a derived function with f(x+5) = (x + 5)³

has a C component of 5, C = 5, which means is the as the parent, just shifted to the left by 5 units.
Sedaia [141]3 years ago
5 0
To move a function to the left by c units, add c to every xso f(x) shifted to the left by 5 units is f(x+5)
for f(x)=x^3, the shifted graph would be f(x+5)=(x+5)^3 it would be the same graph except that it's shifted to the left 5 units ( passes through (-5,0) instead of (0,0) )

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N is factor of 36,<br> n is factor of 48,<br> n&gt;6
Bad White [126]

Answer:

n= 12

Step-by-step explanation:

12 times 2 gives you 36

12 times 4 gives you 48.

12 is both factors of these numbers

7 0
3 years ago
Evaluate the equation. -4x = 14 A.10 B. 7/2 C. -7/2 D. -10
Alex_Xolod [135]

Answer:

c) -7/2

Step-by-step explanation:

14/-4= -3.5

4 0
3 years ago
Read 2 more answers
(a) suppose 3 children in a village ages 3, 5, and 7 are vaccinated with the qiv vaccine. what is the probability that at least
murzikaleks [220]

The probability that at least one child among the 3 will get influenza is 0.07.

<h3>Define probability.</h3>

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Given,

3 children in a village ages 3, 5, and 7 are vaccinated with the qiv vaccine

Probability that at least one child among the 3 will get influenza

P(at least one child among the 3 will get influenza)

=  1 - P(no one have influenza)

= 1 - (1- 0.0.378)(1-0.017)²

= 1 - 0.93

= 0.07

The probability that at least one child among the 3 will get influenza is 0.07.

To learn more about probability, visit:

brainly.com/question/11234923

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7 0
1 year ago
Tim,Griff and Kay baked chocolate for Kay s birthday party.Tim baked 3 times as many as Kay.Griff baked half as many as Tim.Alto
lianna [129]
Answer: 48

------------------------------------------------------------------------------
Define the number of cakes they baked in term of x
------------------------------------------------------------------------------
Let the number of cakes Kay baked be x

Kay = x
Tim = 3x                ← Tim baked 3 times as many as Kay
Griff = 1.5x            ← Griff baked 1/2 as many as Tim

------------------------------------------------------------------------------
Construct the equation and solve for x
------------------------------------------------------------------------------
The total number of cakes baked was 88.

x + 3x + 1.5x = 88        ← Combine like terms
5.5 x = 88                     ← Divide by 5.5
÷5.5    ÷5.5
x = 16

------------------------------------------------------------------------------
Find the number of cakes each baked
------------------------------------------------------------------------------
Kay = x = 16
TIm = 3x = 16 x 3 = 48
Griff = 1.5x = 1.5(16) = 24

------------------------------------------------------------------------------
Answer: Tim baked 48 cakes.
------------------------------------------------------------------------------
3 0
3 years ago
Paige invested 1200 at an interest rate of 5.75% compounded quarterly. Determine the value of her investments in 7 years.
iragen [17]
Use the formula A=p(1+r)^n
where 
A= value of investment
r= rate
n= time period
p= amount invested
in this question 
r= 5.75% but compounded quarterly means divide this by 4
r= 23/1600
n=7*4
n=28
p= $1200
A=1200(1+23/1600)^28

A= $1789.54

Therefore the value of her investment in 7 years is $1789.54
4 0
3 years ago
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