一道简单的的配方的计算题,y=2(t²-3）+1-t化成y=2（t-1/4）²-41/8

Question

一道简单的的配方的计算题,
y=2(t²-3）+1-t
化成 y=2（t-1/4）² -41/8

Answer 1

y=2(t²-3）+1-t
=2t²-6+1-t
=2t²-t-5
=2(t²-t/2)-5
=2[t²-2*(1/4)*t+(1/4)^2]-5-2(1/4)^2
=2（t-1/4）² -41/8