The graph of this function is a parabola. If a < 0 then the parabola opens down, else it is opening upward.
2. Calculate the coordinates of the tangent point: T(-1, f(-1))
3. Determine the first derivative of f and calculate the slope of the tangent line:
4. Use point-slope-formula to get the equation of the tangent line.
(I've got: )
5. Calculate the y-intercept which is t(0).
6. Calculate the x-intercept which is the solution of the equation t(x) = 0
7. Calculate the area by: