MathDB

Reflection of a graph

Source:

March 19, 2006

geometrygeometric transformationreflectionanalytic geometrygraphing linesslopetrigonometry

Problem Statement

Let

C

be the graph of

xy = 1

, and denote by

C^*

the reflection of

C

in the line

y = 2x

. Let the equation of

C^*

be written in the form

12x^2 + bxy + cy^2 + d = 0.

Find the product

bc