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3 years ago

What is the vertical shift of the graph of the parent cosecant function to the graph of the function below?

Mathematics

2 answers:

BartSMP [9]3 years ago

7 0

Answer:

3 units down

Step-by-step explanation:

STatiana [176]3 years ago

4 0

Answer:

Option: C is the correct answer.

C. 3 units down.

Step-by-step explanation:

We know that the graph of a cosecant function has a minimum value for a upward open curve as : 1

It could be seen from the graph.

But here the minimum value of the upward open curve in the transformed function is: -2

This means that the vertical shift is given by:

-2-1=-3

This means that there is a vertical shift of 3 units down in the parent function.

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-29=5u+6-12u solve for you

scoray [572]

Answer:

u=5

Step-by-step explanation:

5u+6-12u=-29

5u-12u+6=-29

-7u+6=-29

-7u=-29-6

-7u=-35

-7u/-7=-35/-7

u=-35/-7

u=5

3 0

3 years ago

Read 2 more answers

A community center is expanding the size

Katen [24]

So the original area is 300*150 (or 45000 ft^2), but now the new area is (300+3y)(150+3y).

The polynomial in standard form would be 45000+900y+450y+9y^2=45000+1350y+9y^2

But the proper way to write it is 9y^2+1350y+45000

When y=4, we get 9(4^2)+1350(4)+45000=9(16)+54000+45000=144+99000=99144

So the new area would be 99144 ft^2

Hope this helped!

6 0

3 years ago

a surveyor measures the distance to the two landmarks as shown in the diagram what is the distance d. between the landmarks

Inessa [10]

<h3>The distance between two landmarks is 123 meters</h3>

<em><u>Solution:</u></em>

We have to find the distance between two landmarks

<em><u>Use the law of cosines</u></em>

The third side of a triangle can be found when we know two sides and the angle between them

$c^2 = a^2 + b^2 - 2ab\ cos c$

Here, angle between 90 meters and 130 meters is 65 degrees

From figure,

a = 90

b = 130

c = d

Therefore,

$d^2 = 90^2 + 130^2 - 2(90)(130)\ cos 65\\\\d^2 = 8100 + 16900 - 23400\ cos\ 65\\\\d^2 = 25000 - 23400 \times 0.4226\\\\d^2 = 25000 - 9889.267\\\\d^2 = 15110.73\\\\d = 122.92\\\\d \approx 123$

Thus, the distance between two landmarks is 123 meters

8 0

4 years ago

State the domain and range of both the function and the inverse function. f(x) = 8 x + 8 f -1(x) = Domain of f(x): Range of f(x)

Katena32 [7]

Answer:

$f^{-1}(x) = \frac{x+8}{8}$

Domain of f(x): All real values.

Range of f(x): All real values.

Domain of f -1(x): All real values.

Range of f -1(x): All real values

Step-by-step explanation:

We are given the following function:

$f(x) = 8x + 8$

Since it is a line, we have that both the domain is the range is the real set.

Inverse function:

The domain of the inverse function is the range of the original function, and the range of the inverse function is the domain of the original function.

Finding the inverse function:

Exchange x and y in the original function, and isolate y. So

Original

$y = 8x + 8$