Question

把函数y=2x^2-x+1化为y=(x-h)^2+k

Answer 1

y=2x²-x+1

=2(x²-x/2)+1

=2(x²-x/2+1/16-1/16)+1

=2(x²-x/2+1/16)-1/8+1

=2(x-1/4)²+7/8

如果不懂,祝学习愉快!

补充：

y=2x²-4x+1

=2(x²-2x)+1

=2(x²-2x+1-1)+1

=2(x²-2x+1)-2+1

=2(x-1)²-1