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satela [25.4K]
3 years ago
6

Using the picture attached, find EG​

Mathematics
2 answers:
Anon25 [30]3 years ago
7 0

Answer:

10

Step-by-step explanation:

Zinaida [17]3 years ago
6 0

EG = 7

.............................

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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
One problem with the widespread use of email is that you receive too much of it.
Kobotan [32]
The answer for your question is True because it says that "Widespread" by that you already know widespread means that it goes every where and you would get it more then one so for that your answer is true:)

Hope this helps:)
6 0
3 years ago
Mr. Carr has to buy each of his 24 students a flash drive. Each flash drive costs $12.
krok68 [10]

Multiply the price of a flash drive by the number he buys:

$12 x 24 = $288 total

4 0
3 years ago
Read 2 more answers
Patrick wanted to gather data about the cost of joining a community pool in his area. He plotted the data and determined that th
ohaa [14]

Answer:

The y-intercept is 40. This is the cost of registration ⇒ last answer

Step-by-step explanation:

* Lets explain how to solve the problem

- Patrick wanted to gather data about the cost of joining a community

 pool in his area

- He plotted the data and determined that the average community

 pool membership cost consists of a one-time registration fee and

 a monthly fee

∴ The cost consists of two parts:

# Part A: one-time registration fee, it is a fixed amount not depend on

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# Part B: monthly fee, it depends on the number of months

- He modeled that by the equation y = 15 x + 40, where

# y is the cost for the membership

# 15 is the monthly fee

# x is the number of months

# 40 is the one-time registration

- The form of the equation is y = mx + c, where c is the y-intercept

∴ The y-intercept in the equation y = 15 x + 40 is 40

∴ The y-intercept is the one-time registration fee

* The y-intercept is 40. This is the cost of registration

4 0
3 years ago
Determine if the angles are greater than (&gt;), less than (&lt;), or equal (=) to each other.
Gwar [14]
  • Opposite side to <WYX=WX
  • Opposite side to <XWY=XY

Here

  • WX=12
  • XY=15

As

  • WX<XY

\\ \sf\longmapsto

4 0
2 years ago
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