## Calculus: Early Transcendentals 8th Edition

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