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kow [346]
2 years ago
9

The graph of the parent function y = x3rd power is horizontally stretched by a factor of 1/5 and reflected over the y-axis. What

is the
equation of the transformed function?
('
O y=(5x)3
Oy=(-5x)3
Oy=(1/5x)3
Oy=(-1/5x)3
Mathematics
2 answers:
VLD [36.1K]2 years ago
6 0

Step-by-step explanation:

The graph of y = √x is reflected in the y-axis, is horizontally stretched by a factor of 2, shifted 3 units up and 1 unit left. What is the equation of the transformed graph?

Original: y = √(x)

Reflected in the y-axis: y = √(-x)

Horizontally stretched by a factor of 2: y = √(-x/2)

Shifted 3 units up: y = 3 + √(-x/2)

And 1 unit left: y = 3 + √(-(x+1)/2)

kodGreya [7K]2 years ago
3 0
  • y=x³

Horizontally streched means change in x

So

New equation

  • y=kx³

k is factor

  • y=1/5x³

We know the rule for reflection (x,y)=(x,-y)

So

New function

  • -y=1/5x³
  • y=-1/5x³

Option D

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ArbitrLikvidat [17]

Answer:

<em>cos a = -1.28 and 0.78</em>

Step-by-step explanation:

The question is not properly written. This is the correct question:

If sina×tan(a) = 1/2, find cosa

According to trigonometry identity;

tan a = sina/cosa

sina×tan(a) = sin a * sina/cosa

sin²a/cos a = 1/2

(1-cos²a)/cosa = 1/2

Cross multiply

2(1-cos²a) = cos a

2 - 2 cos²a = cos a

2cos²a + cos a - 2 = 0

Let P = cos a

2P² + P -2 = 0

P = -1 ±√1-4(2(2)/2(2)

P =  -1 ±√1+16/4

P = -1 ±√17/4

P = -1±4.12/4

P = -1-4.12/4 and -1+4.12/4

P = -5.12/4 and 3.12/4

P = -1.28 and 0.78

Since P = cos a

<em>Hence cos a = -1.28 and 0.78</em>

7 0
3 years ago
How do you round 276,431 to the nearest ten thousand?
Svetradugi [14.3K]
276,000 because the one at the end is the ten, the 3 is a hundred, the 4 is a thousand, and the 6 is the ten thousand
4 0
3 years ago
Read 2 more answers
How do u find the answer
Minchanka [31]
Pffff

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y=mx
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7 0
3 years ago
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aleksklad [387]

Answer:

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Step-by-step explanation:

The general equation of exponential growth is

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b has to do with the rate of growth.

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Now we have

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a is the initial value, so now we have

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8 0
3 years ago
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Answer:

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Step-by-step explanation:

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4 0
2 years ago
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