#### Answer

See the step by step

#### Work Step by Step

Note that all points on the parabola y = $x^{2}$ are of the form (x, $x^{2}$)
Assume that the tangent line at ( a, $a^{2}$) passes through (0, -4)
We know that the slope of the tangent line at any point is the derivative at that point.
Differentiate y = $x^{2}$ to get $\frac{dy}{dx}$ = 2x