The coordinates of the turning point and the equation of the line of symmetry can be found by writing the quadratic expression in completed square form. Find the equation of the line of symmetry and ...

Reflect the shape in the line \(x = -1\). The line \(x = -1\) is a vertical line which passes through -1 on the \(x\)-axis. The line \(y = 1\) is a horizontal line which passes through 1 on the ...

To begin to understand what mathematicians and physicists see in the abstract structures of symmetries, let’s start with a familiar shape. We are fond of saying things are symmetric, but what does ...