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FromTheMoon [43]
3 years ago
8

If the sum of 9 and a half a number equals 35 translation?

Mathematics
1 answer:
Ratling [72]3 years ago
4 0

9+1/2x=35

x=52

hope this helps

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f(x)=x^2; vertical shrink by a factor of 1/2 and a reflection in the y-axis, followed by a translation 1 unit down​
NeX [460]

The image of the function f(x) after vertical shrink by a factor of 1/2

and a reflection in the y-axis, followed by a translation 1 unit down​

is g(x) = \frac{1}{2} x² - 1

Step-by-step explanation:

Lets revise:

1. The vertical shrink

A vertical shrinking is the squeezing of the graph toward the x-axis.

if 0 < k < 1 (a fraction), the graph of y = k•f(x) is the graph of f(x) vertically

shrunk by multiplying each of its y-coordinates by k

2. The reflection

If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)

3. Vertical translation

If the function f(x) translated vertically up  by m units, then its image

is g(x) = f(x) + m

If the function f(x) translated vertically down  by m units, then its image

is g(x) = f(x) - m

Now let us solve the problem

∵ f(x) = x²

∵ f(x) shrunk by a factor of \frac{1}{2}

∴ The image of f(x) = \frac{1}{2} x²

∵ The image of f(x) reflected across y-axis

∴ The sign of x will change

∴ The new image of f(x) = \frac{1}{2} (-x)²

∵ The new image of f(x) translated 1 unit down

∴ We will subtract the new image of f(x) by 1

∴ The last image of f(x) is g(x) = \frac{1}{2} (-x)² - 1

<em>V.I.Note:</em>

(-x)² = x² because even exponents reject the negative sign

The image of the function f(x) after vertical shrink by a factor of 1/2

and a reflection in the y-axis, followed by a translation 1 unit down​

is g(x) = \frac{1}{2} x² - 1

The attached graph for more understand

Learn more:

you can learn more about transformation in brainly.com/question/2415963

#LearnwithBrainly

4 0
3 years ago
Which is a stretch of an exponential decay function? <br> f(x) = f(x) = (5)x f(x) = 5 f(x) = 5(5)x
Goshia [24]

Answer:the answer is c on ed.

4 0
3 years ago
Read 2 more answers
What is the solution to the inequality (20+5 &gt; 1? 0 -3&gt;n&gt; - 2 02-2 On&lt; 2 or n &gt; 3​
Dmitry [639]

Answer:

ion know but bye

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
$800 at 7% compounded annually for 2 years
Marina86 [1]

Answer:

$115.92

Step-by-step explanation:

To calculate compound interest, which Amount - Principal but we dont know the value for amount so we find the amount first by using the formula.

               A =  P ( 1 +   <u>R</u> ) ^n

                                 100      

where p = principal    ($800)            

a =  amount       (?)

r =  interest rate    (7%)

n = time ( no of years)    (2)

A  =  800   ( 1   +   <u>7 </u>) ^2

                          100                  A = 800 ( 1 + 0.07) ^2

                                                  A = 800 ( 1.07)^2   = 800 ( 1.1449)

A = 915.92.

We then find compound interest with:    

C = Amount - Principal   =   $915.92  -  $800    =    $115.92

7 0
2 years ago
A-5-B when A=9 and B=-4
Fed [463]

Answer:

8

Step-by-step explanation:

(Refer to picture)

Plug in the value of A and the value of B into the expression

3 0
3 years ago
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