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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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3 years ago
How to find area? will give..
ch4aika [34]

Answer:

Step-by-step explanation:

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3 0
3 years ago
A company is constructing an​ open-top, square-based, rectangular metal tank that will have a volume of 49 cubic feet. What dime
yawa3891 [41]

Answer:

b = 4.6 ft

h = 2.3 ft

Step-by-step explanation:

The volume of the tank is given by:

b^2*h=49

Where 'b' is the length of the each side of the square base, and 'h' is the height of the tank.

The surface area can be written as:

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The value of b for which the derivate of the expression above is zero is the value that yields the minimum surface area:

\frac{dA}{db} =0=2b-\frac{196}{b^2}\\2b^3=196\\b=4.61\ ft

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7 0
3 years ago
Use the correct order of operation to solve the following problem 3x (50 - 6^2) ÷ 2 =
Effectus [21]

Answer: 21

Step-by-step explanation:

Ok so first of all the numbers in the parentheses go first.

So 6 to the power of 2 (6^2) would be 6x6 which equals 36

50-36=14

After that you just keep rewriting the problem after every step.

Since the 3 is outside of the parentheses, you would multiply it with the 14

3x14=42

Finally 42÷ 2=21

3x (50 - 6^2) ÷ 2 =

        3(14)÷ 2

           42÷ 2= <u><em>21</em></u>

<u><em></em></u>

<u><em></em></u>

<u><em>Hope this helps (:</em></u>

<u><em>Btw sorry if it's a bit confusing but the answer is 21</em></u>

6 0
2 years ago
Can anyone help without using reciprocal?
vova2212 [387]

Answer:

x = -5/3

Step-by-step explanation:

-4 = \dfrac{20}{3}x

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-12 = 20 x

x = \dfrac{-5}{3}

3 0
2 years ago
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