Here is what we know.
The slope between two points is given by
also the slope at a point is the derivative evaluated at that point.
Using the above we get and the points
the derivative at that point is
Now set them equal and solve for a
I seem to be missing something really easy step or something.
On a separate piece of paper, sketch the graph of the parabola . On the same graph, plot the point . Note that there are two tangent lines of that pass through the point .
Specifically, the tangent line of the parabola at the point passes through the point where . The other tangent line that passes through the point occurs at the point .
Find the number a=