The Line of Symmetry (LOS) / the Axis of Symmetry (AOS)
The line of symmetry/ the axis of symmetry is represented by the dashed line going through the vertex and the parabola.
The LOS/ AOS is an "imaginary" line, represented by a dashed line, that divides the parabola into mirror images, meaning the parabola is symmetrical. So, if you were to fold the parabola over, both sides of it would match up.
When solving for or when asked for the AOS/ LOS the answer will always be written as..
X=____
The equation to find the AOS/ LOS is.....
x= -B/2
y= ax² + bx + c
..........This is also the equation to determine the x-value of the vertex
x= -B/2
y= ax² + bx + c
..........This is also the equation to determine the x-value of the vertex
If the quadratic equation is y= 4x² + 8x + 14
A= 4 B= 8 C= 14 |
Then x= -8/ 2(4)
2(4)=8 -8/8=-1 X= -1........the AOS is -1 |