The graph shows the normal lines from the point to the graph of the parabola How many

Chapter 2, Problem 80

(choose chapter or problem)

Normals to a Parabola  The graph shows the normal lines from the point (2, 0) to the graph of the parabola \(x=y^2\). How many normal lines are there from the point \((x_0,\ 0)\) to the graph of the parabola if (a) \(x_0=\frac{1}{4}\), (b) \(x_0=\frac{1}{2}\), and (c) \(x_0=1\)? For what value of \(x_0\) are two of the normal lines perpendicular to each other?

Text Transcription:

x=y^2

(x_0 , 0)

x_0 = 1/4

x_0 = 1/2

x_0 = 1

x_0

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