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blagie [28]
1 year ago
9

I don’t really understand how to get this one :/

Mathematics
1 answer:
KATRIN_1 [288]1 year ago
3 0

in function notation, we get that the transformed function is:

g(x) = -2*f(x - 10) + 800

<h3>How to identify the transformation?</h3>

Here the parent function is:

f(x) = x^2

And the transformed function is the one graphed in the lower right side of the given image.

Notice that the y-intercept of the transformed function is y = 600.

The x-intercepts are x = -10 and x = 30

Then the polynomial is something like:

y = a*(x + 10)*(x - 30)

Using the fact that the y-intercept is y = 600, then:

600 = a*(0 + 10)*(0 - 30) = a*-300

600/-300 = a = -2

The transformed function is:

g(x) = -2*(x + 10)*(x - 30)

Expanding that:

g(x) = -2( x^2 + 10x - 30x - 300)

Completing squares we get:

g(x) = -2*(  x^2 - 20x - 300)

      = -2*(x^2 - 2*10*x - 300)

Now we can add and subtract 100, so we get:

-2*(x^2 - 2*10*x - 300 + 100 - 100)

-2*(  (x - 10)^2 - 400)

Finally, expanding that:

g(x) = -2*(x - 10)^2 + 800

Writing it in function notation, we get that the transformed function is:

g(x) = -2*f(x - 10) + 800

If you want to learn more about transformations:

brainly.com/question/4289712

#SPJ1

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Troyanec [42]

Answer:

R.H.S:

= cos ( 90 - theta )

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= 0 + sin(theta)                                                       =>[ cos(90) = 0   ,  sin(90) = 1]

= sin(theta)

8 0
3 years ago
Is 3:4 equivalent to 12:24
Nuetrik [128]
No because 3 times 4 is 12 but 4 times four is 16 and TO get from 4 to 24 you multiply 6 but 6 times 3 is 18 so no I think
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3 years ago
Read 2 more answers
What is the value of the expression [-8/9]divide by [-2/3]x[-4 1/2]
Sidana [21]

Answer:

-82/3

Step-by-step explanation:

first divide -8/9 by -2/3

-8/9 ➗ -2/3 =-8/9*3/-2 =4/3

multiply 4/3 by -41/2

4/3*-41/2 = -82/3

5 0
3 years ago
What other angle between O and 360 degrees has the same TAN value as 71
atroni [7]

Answer:

<u>-289 degrees</u>

Step-by-step explanation:

You are looking for what is called  <u>Coterminal Angles</u>.

To find a coterminal angle between 0 and 360 you <u>add or subtract</u> 360.

  1. In this case, we subtracted 360 from 71
  2. 71 - 360 = -289
  3. tan(-289) = 2.90
  4. If  TAN 71 = 2.90 and TAN -289 = 2.90, you know -289 is your answer.

Hope this helps!! Please mark Brainliest!!!

5 0
2 years ago
3. A jewelry store buys small boxes in which to wrap the items that it sells. The diagram below shows one of the boxes. The diag
ElenaW [278]

Answer:

1) The lateral area is LA=95 cm²

2) The surface area is SA=275  cm²

The answer is the option D) 95 cm² ; 275 cm²

Step-by-step explanation:

we know that

The surface area of the box (rectangular prism) is equal to

SA=2B+LA

where

B is the area of the base

LA is the lateral area of the box

<em>Find the lateral area</em>

LA=PH

where

P is the perimeter of the base

H is the height of the box

substitute

LA=2[15+6](2.26)=94.92 cm²

Round to the nearest whole number

LA=95 cm²

<em>Find the area of the base B</em>

B=(15)(6)=90 cm²

Find the surface area of the box

SA=2B+LA

substitute the values

SA=2(90)+95=275  cm²

5 0
3 years ago
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