How do you determine the equation of the parabola with vertex (2,6) and passes through (7,2)?
The equation of a parabola in
where (h ,k) are the coordinates of the vertex and a, a constant.
here (h ,k) = (2 ,6)
#rArry=a(x-2)^2+6 " is the partial equation"#
Given that the parabola passes through (7 ,2) then the coordinates of this point will satisfy the equation.
Substituting x = 7 and y = 2 into the equation allows the constant a to be found.
#rArry=-4/25(x-2)^2+6" is the equation in vertex form"#