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3 years ago

The graph for the function f(x) = -4 |x+2|+4 is shown below

Mathematics

1 answer:

nalin [4]3 years ago

6 0

Answer:

domain:(-infinity, positive infinity)

range:(-infinity, 4]

Step-by-step explanation:

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Can someone help me with this

mash [69]

The center of the circle is (h,k) = (-2,-3)

The radius of the circle is r = 2

The standard form of equation of the circle is

${(x + 2)}^{2} + {(y + 3)}^{2} = 4$

<h3>How to find the center, radius and standrad form of the circle?</h3>

The general form of equation of the circle is

${(x - h)}^{2} + {(y - k)}^{2} = {r}^{2}$

Here, (h,k) means centre of the circle.

r means radius of the circle.

given that coordinate points of centre of circle is (-2,-3).

Hence the (h,k) = (-2,-3)

<h3>How to find the radius of the circle?</h3>

Now to find the radius of the circle

The distance from a circle's centre to its circumference is its radius.

The distance from a circle's centre (-2,-3) to its circumference (0,-3) is its radius.

using the formula, distance between the two points to obtain radius.

$d = \sqrt{(x1 - x2) {}^{2} + {(y1 - y2)}^{2} } \\ r = \sqrt{ {( - 2 - 0)}^{2} + {( - 3 - ( - 3))}^{2} } \\ r = \sqrt{ {( - 2)}^{2} + {( - 3 + 3)}^{2} } \\ r = \sqrt{ {4}^{2} + 0 } \\ r = \sqrt{4} \\ r = 2$

<h3>How to find the standard form of equation of the circle?</h3>

(h,k) = (-2,-3)

r = 2

subtitue the (h,k) and r values to get the standard form of equation of the circle.

$(x - h) {}^{2} + {(y - k)}^{2} = {r}^{2}$

${(x - ( - 2))}^{2} + {(y - ( - 3))}^{2} = {r}^{2}$

${(x + 2)}^{2} + {(y + 3)}^{2} = 4$

Learn more about circle, refer:

brainly.com/question/24810873

#SPJ9

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2 years ago

Use the coordinates of the plotted points to complete the calculation below. Pay

dmitriy555 [2]

Answer:

first box: 3

second box: 1

third box: -3

fourth box: 1

fifth box: -3

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4 years ago

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Don't comment unless u can help!

otez555 [7]

well you shouldn't be on here if you're going to cheat

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3 years ago

In zoe's class, 4/5 of the students have pets. of the students who have pets, 1/8 have rodents. what fraction of the students in

olasank [31]

Let us assume the number of student's in Zoe's class = x
Then
Number of students that have pets = 4x/5
Number of students that have rodents as pets = (1/8) * (4x/5)
= x/10
Number of students in Zoe's class
that have pets that are not rodents = (4x/5) - (x/10)
= (8x - x)/10
= 7x/10
I hope that the procedure is clear enough for you to understand and this is the answer that you were looking for.

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3 years ago

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How to work out 1.25 at the simplest fraction

Fed [463]

1 1/4 because the 1 would be the 1 in 1 1/4 and .25 is 1/4 so.........

1 1/4

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3 years ago

The graph for the function f(x) = -4 |x+2|+4 is shown below​

The graph for the function f(x) = -4 |x+2|+4 is shown below