Graphing Functions

To flip this over the y-axis, the sign of x changes.

This entails changing ${\displaystyle (x+1{)}^2}$ to ${\displaystyle (-<!--\; -\; -->x+1{)}^2}$

${\displaystyle (-<!--\; -\; -->x+1{)}^2=(-<!--\; -\; -->(-<!--\; -\; -->x+1){)}^2=(x-<!--\; -\; -->1{)}^2}$

Perhaps a simpler way to think about this is that the vertex for this parabola is at (−1,4).

If we flip the equation over the y-axis, it will place the vertex at (1,4), making our new equation ${\displaystyle y=2(x-<!--\; -\; -->1{)}^2+4}$