1. Re-write the equation of the function:

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:

I've got