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kirza4 [7]
3 years ago
15

Josh estimates the height of his desk. What is a reasonable estimate?

Mathematics
1 answer:
Vesna [10]3 years ago
3 0

 

The reasonable estimates are indicated in the following choices:

 

A) 1 foot

B) 2 feet

C) 5 feet

D) 9 feet

 

So, from the given choices, 2 feet or approximately 24 inches would be the most viable answer because most standard desks have a height around 28 inches to 30 inches. 1 foot is too low, while 5 feet and 9 feet are too high. Therefore, 3 to 4 feet would be the most perfect answer but since we have a limited number of options, the nearest reasonable estimate value would be 2 feet. <span>The original numbers from a problem does not exceed in a reasonable estimate.</span>

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Give an equation for the result of shifting the graph of up by 4 units, and left by 2 units.
andreyandreev [35.5K]

We define transformations as operators that act on functions by modifying them in some given way. One type of transformation is a translation, which will move the whole graph of the function in some give direction.

For a general function f(x), we will find that the equation for the result of shifting the graph up by 4 units and left by 2 units is:

g(x) = f(x + 2) + 4

----------------------------------

Let's see how to solve this.

We need to start by defining the two most common translations (also known as shifts).

Horizontal translation:

For a given function f(x), an horizontal translation of N units is written as:

g(x) = f(x + N)

where if N is positive,<em> the translation is to the left.</em>

If N is negative, <em>the translation is to the right.</em>

Vertical translation:

For a given function f(x), a vertical translation of N units is written as:

g(x) = f(x) +  N

Where if N is positive,<em> the translation is upwards.</em>

If N is negative, <em>the translation is downwards.</em>

Here for an unknown function f(x), we want to write the equation that gives a shift up of 4 units and left by 2 units.

<em>The shift up of 4 units is written as:</em>

<em>g(x) = f(x) + 4</em>

<em>The shift of 2 units to the left is written as:</em>

<em>g(x) = f(x + 2) </em>

<em>These two together give:</em>

<em>g(x) =  f(x + 2) + 4.</em>

This is the equation we wanted to get.

If you want to learn more, you can read:

brainly.com/question/24401156

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What is the value of d/dx (6/x^4 + 1/x^2) at x = -1 ?
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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