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raketka [301]
2 years ago
13

Create the equation used to graph this graph:

Mathematics
1 answer:
Nuetrik [128]2 years ago
4 0

Answer:

(y+4)^2=-4(x-2)  or  x=-\frac{1}{4}(y+4)^2+2

Step-by-step explanation:

we know that

The general equation of a horizontal parabola open to the left is equal to

(y-k)^2=-4p(x-h)

where

(h,k) is the vertex of the parabola

p is the focal distance (distance from the vertex to the focus)

In this problem we have

The vertex is the point (2,-4)

so

(h,k)=(2,-4)

The Focus is the point F(1,-4)

so

the focal distance p=2-1=1 ---> distance from the vertex to the focus

substitute in the formula

(y+4)^2=-4(1)(x-2)  

(y+4)^2=-4(x-2)

x=-\frac{1}{4}(y+4)^2+2

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−2x=x^2 minus 6, <br> Rewrite the equation by completing the square. please answer
Paul [167]

Answer:

(x+1)^{2} -5

Step-by-step explanation:

-2x=x^{2} -6 \\x^{2} +2x-6\\(\frac{b}{2}) ^{2} =(\frac{2}{2}) ^{2} =1^{2} =1\\so, (x^{2} +2x+1)-6+1\\ x^{2} +2x+1=(x+1)^{2} \\-6+1=5\\(x+1)^{2} -5

Sorry it took so long

4 0
2 years ago
PLS HELP WILL GIVE BRAINLIEST
Vanyuwa [196]

Answer:

The correct answer is the last choice. It travels for 2 hours, then stops for 1 hour, and finally travels again for 2 hours.

Step-by-step explanation:

In the first segment of the trip, the car goes from 0 to 2 hours and the line is moving up. Therefore, it traveled for 2 hours.

In the second segment, the line went straight horizontal for 1 hour. That means the distance didn't change, in other words, it didn't move.

In the last segment, it moved up again for 2 hours.

7 0
2 years ago
Read 2 more answers
A planet's year is the time it takes that planet to revolve around the Sun. A Mars year is 1.88 Earth years. If you are 13 years
Nata [24]
Mars year is 1.88 of your Earth years.
So if you are 13,

1.88 x 13=24.44, or 24 years old, I think.
6 0
3 years ago
You work full-time and make $17 per hour. What is your gross annual income?
GREYUIT [131]

Answer:

Your welcome

Step-by-step explanation:

$8160 the hours would be 480

$680 the hours would be 40

$35,360 the hours would be  2,080

$36,720 the hours would be 2,160

3 0
2 years ago
VWX and NOP are similar. If mV=44 and mP=66, what is mW
Elena L [17]

It is given that the two figures are similar. This means that mV is equal to mN, mW is equal to mO, and mX is equal to mP. The sum of the angles of a triangle is equal to 180 degrees.

<span>                          mV + mW + mX = 180</span>

 

Substituting the known variables and the conditions given in the description of the similar triangles,

<span>                           44 + mW + 66 = 180</span>

<span>The value of mW in the equation is 70 degrees. </span>

3 0
3 years ago
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