What is the equation of the circle shown below?

Mathematics

1 answer:

atroni [7]3 years ago

3 0

Step-by-step explanation:

Equation of circle: (x + 2)² + (y - 2)² = r²

Radius of the circle is 3 (from -2 to 1).

Hence we have

(x + 2)² + (y - 2)² = 3² or (x + 2)² + (y - 2)² = 9.

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What are the domain and range of this function y=(x+3)^2 -5

n200080 [17]

Answer: Choice A

Note: the range should be $[-5, \infty)$ . See explanation below.

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We can plug in any real number for x to get some output for y. The domain is the set of all real numbers in which we say $(-\infty, \infty)$ which is interval notation. It represents the interval from negative infinity to positive infinity.

The range is the set of possible outputs. The smallest output possible is y = -5 which occurs at the vertex (3,-5). We can get this y value or larger. So we can describe the range as the set of y values such that $y \ge -5$ and that translates to the interval notation $[-5, \infty)$ .

The square bracket says "include this endpoint" while the curved parenthesis says to exclude the endpoint. Your teacher mistakenly wrote $(-5, \infty)$ for choice A, when they should have written $[-5, \infty)$