Posted by Emily on .
find a function y=ax^2+bx+c whose graph has an x-intercept of 1, a y-intercept of -2, and a tangent line with slope -1 at the y-intercept.
The three given conditions are:
1. For x-intercept of 1:
f(x)=y= (x-1)(ax-c) = ax²-(c+1)+c
2. For y-intercept of -2:
3. for tangent=-1 at y=0
Solve for a, b and c.