Find the equation of the parabola that goes through the three points (0, 9), (1, 7) and (2, 7).
+15001 Find the equation of the parabola that goes through the three points (0, 9), (1, 7) and (2, 7).
Hello Guest!
\(y=ax^2+bx+c\)
Put the coordinates of the three points in
the equation \(y=ax^2+bx+c\), and solve for a, b, and c.
I. \(9=c\)
II. \(7=a+b+9\)
III. \(7=4a+2b+9\)
4 * II . \(28=4a+4b+36\)
- III. \(\underline{7=4a+2b+9}\)
21 = 2b + 27
\(2b=21-27=-6\)
\(b=-3\)
\(7=a+b+9\)
\(7=a-3+9\)
\(a=1\)
The general equation \(y=ax^2+bx+c\)
becomes the real equation \(y=x^2-3x+9\).
!
