1954 AHSME Problems/Problem 42
Consider the graphs of and on the same set of axis. These parabolas are exactly the same shape. Then:
Let us consider the vertices of the two parabolas. The x-coordinate of parabola 1 is given by .
Similarly, the x-coordinate of parabola 2 is given by .
From this information, we can deduce that , since the parabolas are the same shape.