(a) Draw a diagram to show that there are two tangent lines to the parabola y = x^2 that pass through the point (0, -4). (Do this on paper. Your teacher may ask you to turn in this work.)
(b) Find the coordinates of the points where these tangent lines intersect the parabola.
( , ) (point with smaller x value)
( , ) (point with larger x value)
The Attempt at a Solution
I drew the graph of y=x^2, I also drew the point (0,-4) and I drew estimated tangent lines. I just don't understand how I go about finding the point where both of these tangent lines hit, I can estimate it but I know it's not looking for that.
I first got the derivative at 0 but realized that that is not the way to go about answering this.