MathDB
Restoring coordinate system

Source: Moscow mathematic olympiad 2022, P11.2

September 29, 2022
analytic geometryRulercompassgeometry

Problem Statement

In a Cartesian coordinate system (with the same scale on the x and y axes)there is a graph of the exponential function y=3xy=3^x. Then the y-axis and all marks on the x-axis erased. Only the graph of the function and the x-axis remained without a scale and a mark of 00. How can you restore the y-axis using a compass and ruler?