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Find the vertex of the graph of the equation x - y^2 + 8y = 13 - 6y + y^2.

 Jun 11, 2022
 #1
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Rearrange as

 

x =  2y^2 -14y  + 13

 

This is a parabola that opens to the  right

 

The  y coordinate of the vertex =    -(-14) / [2*2]  =   14/4  =  7/2

 

And the x coordinate  is     2 (7/2)^2  - 14 (7/2)  + 13   =  49/2 - 49 + 13  =  -11.5

 

Vertex =   (-11.5 , 7/2)  =   (-11.5 , 3.5)

 

cool cool cool

 Jun 11, 2022

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