PLEASE HELP!

Imagine that an experiment is conducted on Mars in which and object is launched vertically from a height of ho above the surface of the planet and with an initial velocity of vo in feet per second. The height of the object is measured at three different points in time, and the data are recorded in the table shown below.

Time(s) | Height(ft)
1 | 19
2 | 21
3 | 11

1. Find a quadratic function that fits the data by solving a system.
I also have 3 more questions...but there's not enough room here.

Question

PLEASE HELP!

Imagine that an experiment is conducted on Mars in which and object is launched vertically from a height of ho above the surface of the planet and with an initial velocity of vo in feet per second. The height of the object is measured at three different points in time, and the data are recorded in the table shown below.

Time(s) | Height(ft)
    1       |     19
    2       |     21
    3       |     11

1. Find a quadratic function that fits the data by solving a system.
I also have 3 more questions...but there's not enough room here.

mathhelp346 · Answer

I got $$h(t)=13x ^{2}-56x+62$$ But the answer in my textbook says it's $$h(t)=-6x ^{2}+20x+5$$ What did I do wrong?