How did the π invented?

Mathematics

1 answer:

Sloan [31]3 years ago

3 0

Answer:

The ancient Babylonians calculated the area of a circle by taking 3 times the square of its radius, which gave a value of pi = 3. The first calculation of π was done by Archimedes of Syracuse (287–212 BC), one of the greatest mathematicians of the ancient world.

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Which equation describes the graphed function?

Oxana [17]

Using translations, it is found that the equation the represents the graphed function is:

$y = -f(x) - 3$ , given by option C.

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The parent function is $f(x) = \sqrt{x}$ .
<u>As x increases, it's value increases. In the graph, as x increases, it decreases</u>, thus it was multiplied by -1, that is, $-f(x)$ .
The parent function is defined for $x \geq 0$ , and the same is valid for the function in the graph, thus we have $f(x)$ and not $f(-x)$ .
The initial value of the parent function is $y = 0$ , here it is $y = -3$ , thus it was shifted down 3 units, that is, $y = -f(x) - 3$ , and the correct option is C.