Write the quadratic function in vertex form: f(x) = 8x2 + 2x - 5

y=8x²+2x-5
y+5=8(x²+x/4)
y+41/8=8(x²+x/4+1/64)
y+41/8=8(x+1/8)²
f(x)=8(x+1/8)²-41/8