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Artist 52 [7]
3 years ago
13

Write the equation g(x) of the transformation of the parent graph f(x) = |x| stretched vertically by a factor of 2, reflected ov

er the x-axis, and translated left 1 unit and down 3 units.
Mathematics
2 answers:
Otrada [13]3 years ago
7 0

Answer:

g(x) = -2|x+1| -3

Step-by-step explanation:

f(x) = |x|

y = f(x) + C C < 0 moves it down

y = |x| -3  for  shifting down 3

y = f(x + C) C > 0 moves it left

y = |x+1| -3 for move it left 1

y = Cf(x)  C > 1 stretches it in the y-direction

y = 2|x+1| -3 to stretch it 2 vertically

y = −f(x)  Reflects it about x-axis

y = -2|x+1| -3

Sonbull [250]3 years ago
6 0

We start off with f(x) = |x|

c < 0 means move down

y = f(x) + c

3 units down

After: y = |x| - 3

c > 0 means move left

y = f(x + c)

1 unit left

After: y = |x + 1| - 3

c > 1 means y direction stretch

y = cf(x)

2 unit stretch

After: y = 2|x + 1| - 3

Reflect across x-axis can be stated as y = -f(x)

After: y = -2|x + 1| - 3

Best of Luck!

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Marat540 [252]

Answer:

P value is 0.1932

conclusion is that find value P greater than hypothesis test at the 0.05 level

Step-by-step explanation:

Given data

registered organ donors P  = 40%

sample n = 200

registered organ donors x = 74

hypothesis test α = 0.05

to find out

P-value and state a conclusion

solution

we take a trail p less than 40 % i.e 0.40

so p = x/n

p = 74 / 200 = 0.37

so we find here Z value  i.e

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here Q = 1-p = 1-0.40 = 0.60

so Z = 0.37 - 0.40 / √(0.40×0.60/200)

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so p value for Z (-0.866) from z table

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and conclusion is that find value P greater than hypothesis test at the 0.05 level

6 0
3 years ago
Read 2 more answers
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sertanlavr [38]

11.7

Formula: a^2 + b^2 = c^2

so substitute the numbers like this:

10^2 + 6^2 = c^2

both 10^2 and 6^2 are perfect squares:

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add:

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now in order to get rid of the squared, you put it into a radical:

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it's easier to use the calculator for this so put √136 and you're gonna get 11.66

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7 0
3 years ago
7400 dollars is placed in an account with an annual interest
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Answer:

17

Step-by-step explanation:

We have the following equation for compounding annual interest

AV=PV(1+i)ⁿ

We have

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2.594=(1.06)ⁿ

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x^y=z\\log_xz=y

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16.362

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Answer = 350


Step-by-step explanation:


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Answer:

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