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Find the vertex of the graph of the equation x - y^2 + 8y = 13 + 2y - 4x + 15y + 3y^2.

 Jun 22, 2024
 #1
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Simplify  as

 

5x = 4y^2  + 9y  + 13

 

x = (4/5)y^2 + (9/5)y + 13/5

 

The y coordinate of the vertex = -(9/5) / (2 * 4/5)  = -9/8

 

The x coordinate is

 

(4/5) (-9/8)^2 + (9/5)(-9/8) + 13/5 =   127 / 80

 

 

cool cool cool

 Jun 23, 2024

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