Factored form
· y = a(x-r)(x-s) is another form to express a quadratic relation.
· r and s are x-intercepts of a parabola.
· r and s are x-intercepts of a parabola.
· The vertex of a parabola is in their center of the x-intercepts as it is symmetrical.
· y = a(x-r)(x-s) is graphed using the x-intercepts:
o Plot the x-intercepts.
o Find the midpoint of two x-intercepts.
(x) midpoint: (r + s)/ 2
o Substitute the midpoint into the equation to find the vertex.
o Plot the vertex and connect it to the x-intercepts.
· The x-intercepts are also known as zeros and roots of a parabola.
· y = a(x-r)(x-s) is graphed using the x-intercepts:
o Plot the x-intercepts.
o Find the midpoint of two x-intercepts.
(x) midpoint: (r + s)/ 2
o Substitute the midpoint into the equation to find the vertex.
o Plot the vertex and connect it to the x-intercepts.
· The x-intercepts are also known as zeros and roots of a parabola.