Question
In Exercises $85-88,$ find an equation of the tangent line to the parabola at the given point and find the $x$ -intercept of the line. $$x^{2}=2 y,\left(-3, \frac{9}{2}\right)$$
Step 1
The general form of a parabola is $x^{2}=4py$, so comparing this with the given equation, we get $4p=2$ which gives $p=\frac{1}{2}$. The focus of the parabola is at $(0, p)$ which is $(0, \frac{1}{2})$. Show more…
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