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Find the vertex of the graph of the equation y = -2x^2 + 8x - 15 - 3x^2 - 14x + 25.

 Jul 4, 2024
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1. first we simplfy 

 

y = -5x^2 -6x + 10 is the most simplfied version 

 

* We can now convert this to vertex form

 

y= -5 ( x^2 + 6/5 x - 2 ) 

 

==> y = -5 ( x + 3/5)^2 +59/5  is the vertex form

 

vertex ==> (h,k)  and the standard vertex form == >  y = a ( x − h ) 2 + k

 

thus vertex ==> (-3/5 , 59/5)

smiley

 Jul 4, 2024

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