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chubhunter [2.5K]
3 years ago
6

In what direction and by how many units is the graph of f(x) = −3 cos(2x − π) + 2 vertically and horizontally shifted

Mathematics
1 answer:
MakcuM [25]3 years ago
8 0

Answer:

Vertical shift is 2 units top and horizontal shift is \frac{\pi }{2} units to the right

Step-by-step explanation:

Consider the function f(x) = a cos(bx + c) + d.

In this graph, the horizontal shift is -c/b and the vertical shift is d.

Let's compare our graph, f(x) = -3 cos(2x - π) + 2 with this graph.

Here, a = -3, b = 2, c = -π and d = 2.

So, vertical shift = d = 2 units top and

horizontal shift = -\frac{c}{b} =-\frac{-\pi }{2} =\frac{\pi}{2} units to the right.


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Express 3m24cm in kilometers,leaving your answer in standard form​
erastova [34]

Answer:

0.00324 kilometres

Step-by-step explanation:

Remember:

100 centimeters = 1 meter

1000 meters = 1 kilometer

So first, let's add together the meters and centimeters. To do that, we have to convert the meters to centimeters. That would become 300 centimeters, then you add the 24 centimeters to get 324 centimeters. Then, you convert that to kilometers. You can use a calculator for this, but I'll show you how to do this without a calculator. Since 100 centimeters is one meter, and 1000 meters equals to one kilometer, there would be 5 spaces from 324 to our answer, so you move the invisible decimal point 5 spaces to the left, and you get your answer, which is 0.00324 kilometres!

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A square room in Amber's home has an area of 128 square feet. Which is the best estimate of one side length of the room?
Nitella [24]
A best estimate would be 32
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What is the domain of the ordered pairs?
BigorU [14]

Answer:

b.  {-3, -1, 2}

Step-by-step explanation:

An <u>ordered pair</u> is a pair of elements written as (x, y) where the first element is the input value and the second element is the output value.

The <u>domain</u> is the set of input values (x-values)

The <u>range</u> is the set of output values (y-values)

Therefore, for the given ordered pairs (-1, 0), (2, 4) and (-3, 6)

Domain:  {-3, -1, 2}

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CAN SOMEONE SHOW ME HOW TO DO THIS PLEASE????????????????
morpeh [17]
For (h+g)(x) you just add the two functions:

(h+g)(x) = 4x + 2x^2

For (h•g)(x) you multiply them:

(h•g)(x) = 4x • 2x^2 = 8x^3

For (h-g)(x) you subtract them:

(h-g)(x) = 4x - 2x^2


For (h-g)(-2) you sub -2 into the equation we just created:

(h-g)(-2) = 4(-2) - 2(-2)^2
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