Write f (x) = a (x-h) 2+k and identify the vertex

f (x) = 2x2+4x-5 vertex: (,) ?

2x to the second power so 2x2 sorry

Hello:

2x²+4x-5 = a (x-h) 2+k = a (x²-2xh+h²) + k

2x²+4x-5 = ax²-2ahx + ah² + k

a=2 ... (1)

-2ah = 4 ... (2)

ah²+k=-5 ... (3)

in (2) : - 4h=4 h=-1

in (3) : 2 (-1) ²+k=-5 k = - 7

conclusion : 2x²+4x-5 = 2 (x+1) ²-7

the vertex is : A (-1,-7)