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kifflom [539]
3 years ago
12

Write the equation of the function please help

Mathematics
1 answer:
Andrej [43]3 years ago
7 0

Examine the graph.

The graph looks like one of square-root....let's see.


If we make a translation of (-3,-2), i.e. the beginning of the graph, to the origin, we will see that we have the following points on the graph,

(0,0), (1,1), (4,2), (5,2.2), (8,2.8)

all of which correspond to the sqrt(x) function.


Thus if we take the parent graph as sqrt(x), and translate to the current position by a translation of (-3,-2), we get the current graph.


To do the translation, we recall that a translation of a parent function f(x) by (h,k) can be effected by

g(x) ->f(x-h)+k


Setting h=-3, k=-2, and f(x)=sqrt(x), we get

current graph g(x)=f(x-(-3)+(-2)=f(x+3)-2 = sqrt(x+3)-2

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2 years ago
Help me please ;-;!!!!! Use a coordinate grid to create a map of a town with at least five different locations, such as a house,
Sholpan [36]
A. Our diagram have six location: my house (2,1), a movie theater (5,3), the school (6,6), the police station (3,-2), the airport (-3,3), and the mall (-2,-3)

B. Distance between my house and the movie theater:
To calculate the distance we are going to use the points (2,1) and (5,3) to create a right triangle with tow legs of measures 3 and 2; the hypotenuse of the right triangle will be the distance between my house and the movie theater.
Using the Pythagorean theorem:
d^2=3^2+2^2
d^2=9+4
d^2=13
d= \sqrt{13}
We can conclude that the distance between my house and the movie theater is \sqrt{13}

Our second distance is the distance between the police station and the airport:
This time we are using the points (3,-2) and (-3,3) to create a right triangle with legs of measures 6 and 5; the hypotenuse of our triangle will be the the distance between our points:
d^2=6^2+5^2
d^2=36+25
d^2=61
d= \sqrt{61}
We can conclude that the distance between the police station and the airport is \sqrt{61}

C. Distance form the park to the Fire Station:
d^2=3^2+1^2
d^2=9+1
d^2=10
d= \sqrt{10}
We can conclude that the distance from the park to the Fire Station is \sqrt{10}

Distance from the stadium to the mall:
d^2=2^2+1^2
d^2=4+1
d^2=5
d= \sqrt{5}
We can conclude that the distance from the stadium to the mall is \sqrt{5}

D. What is the distance between your house and the mall?
Answer:
d^2=4^2+4^2
d^2=16+16
d^2=32
d= \sqrt{32}
d=4 \sqrt{2}
We can conclude that the distance between my house and the mall is 4 \sqrt{2}

What is the distance between the movie theater and the school?
answer:
d^2=3^2+1^2
d^2=9+1
d^2=10
d= \sqrt{10}
We can conclude that the distance between the movie theater and the school is \sqrt{10}

7 0
3 years ago
I will mark brainliest!
Evgen [1.6K]

Answer:

4 gallons.

Step-by-step explanation:

Reading the top point on the graph we see that 48 gallons of white paint mix with 12 gallons of black Paint.

So 1 gallon of black paint is mixed with 48/12 = 4 gallons of white paint.

8 0
3 years ago
Annalise withdraws​ $22.50 each day from her account for a week. How can you represent the change in the account for the​ week?
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Answer:poop

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Because poop

5 0
2 years ago
(2/7)power 7 divided (2/7)power 5
Harrizon [31]

Answer:

4/49

Step-by-step explanation:

7-5 = 2

2/7*2/7 = 4/49

6 0
3 years ago
Read 2 more answers
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