# Puzzles

## Parabola

Source:

*Alex Through the Looking-Glass: How Life Reflects Numbers and Numbers Reflect Life*by Alex BellosOn a graph of \(y=x^2\), two lines are drawn at \(x=a\) and \(x=-b\) (for \(a,b>0\). The points where these lines intersect the parabola are connected.

What is the y-coordinate of the point where this line intersects the y-axis?

If you enjoyed this puzzle, check out Sunday Afternoon Maths XVIII,

puzzles about coordinates, or a random puzzle.

puzzles about coordinates, or a random puzzle.