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Jlenok [28]
3 years ago
5

What is the line of symmetry for the parabola whose equation is y = -x2 + x + 3?

Mathematics
2 answers:
iVinArrow [24]3 years ago
5 0
Alright so if I do remember my math correctly, this is how it goes:

- y = -x^2 + x + 3

- x = -b/2a

- x = -1/2(-1)

- x = -1/-2, which = (1/2)

Not quite sure if this was correct, but if it was, hope this helps and you're welcome! :)
Inessa05 [86]3 years ago
4 0

Answer:  The required line of symmetry of the given parabola is 2x-1=0.

Step-by-step explanation:  We are given to find the line of symmetry for the parabola with the following equation :

y=-x^2+x+3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We know that

the STANDARD equation of a parabola is given by

y=a(x-h)^2+k,

where the line of symmetry is x - h = 0.

From equation (i), we get

y=-x^2+x+3\\\\\Rightarrow y=-(x^2-x)+3\\\\\Rightarrow y=-\left(x^2-2\times x\times\dfrac{1}{2}+\left(\dfrac{1}{2}\right)^2\right)+3+\left(\dfrac{1}{2}\right)^2\\\\\\\Rightarrow y=-\left(x-\dfrac{1}{2}\right)^2+3+\dfrac{1}{4}\\\\\\\Rightarrow y=-\left(x-\dfrac{1}{2}\right)+\dfrac{13}{4}.

Comparing with the standard form of the parabola, the line of symmetry is given by

x-\dfrac{1}{2}=0\\\\\Rightarrow 2x-1=0

Thus, the required line of symmetry of the given parabola is 2x-1=0.

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ipn [44]

Answer:

Neither

Step-by-step explanation:

After substituting the ordered pair into the equation, none of the pairs satisfy the equation

because 6(3)+3(-2)=12 and 6(2)+3(2)=18.

8 0
3 years ago
4x + 12 = -7y<br> -y + 12 = 4x<br> Solve with elimination
statuscvo [17]
Take the second equation and flip it around so the y on the left ends up on the right and the 4x on the right ends up on the left.  This makes all negatives positive and all positives negative.   -4x   + 12  = y 

Then add the first equation to the second equation 
4x   +12   = -7y
<u>-4x   + 12  </u>=<u> y </u>   this eliminates the x's
          <u>24</u> = -<u> 6y</u>            then divide by - 6
           - 6     - 6
         - 4    = y<u>

</u>So if you know that y = negative 4, you can substitute into either equation.  I pick the second one because I am a lazy person.  
  -y  + 12  = 4 x
-(-4) + 12 = 4 x     combine your numbers<u>
</u>   <u>  16     </u> = <u>4 x  </u>      then divide by 4<u>
</u>       4      =  x
So your solution is: x = 4 and y = -4 or this is also written (4, -4)

Does that work for you?
4 0
3 years ago
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AlexFokin [52]

Answer:

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2 years ago
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3 years ago
Hey can you keep me please I need this ASAP
natka813 [3]

Hey!

---------------------------------------------------------------------------

Question #1:

Least to greatest: 1.6 x 10^-2, 16%, 0.2, 3/5, 6^-1, √6

---------------------------------------------------------------------------

Question #2:

Greatest to least: 5^7, 9^5, 5.9 x 10^4, 15^4, 7.8 x 10^3

---------------------------------------------------------------------------

Hope This Helps :)

7 0
3 years ago
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