将4t²-3t+144化成顶点式

将4t²-3t+144化成顶点式
将4t²-3t+144化成顶点式

将4t²-3t+144化成顶点式
4t²-3t+144
=4（t²-3/4t）+144
=4（t²-2*3/8t+9/64-9/64）+144
=4（t²-2*3/8t+9/64）-9/16+144
=4（t-3/8）²+2295/16

=4（t²-3t/4）+144=4［t²-3t/4+(3/4)²-(3/4)²］+144 =4(t-3/4)²-9/16+144=4(t-3/4)²+2295/16
切记［t²-3t/4+(3/4)²-(3/4)²］最好不要将(3/4)²写成9/16的形式，容易出错