What is the equation of the parabola that has a vertex at # (8, 6) # and passes through point # (12,9) #?
1 Answer
May 27, 2017
Explanation:
#"the equation of a parabola in "color(blue)"vertex form"# is.
#color(red)(bar(ul(|color(white)(2/2)color(black)(y=a(x-h)^2+k)color(white)(2/2)|)))#
where ( h , k ) are the coordinates of the vertex and a is a constant.
#"here " (h,k)=(8,6)#
#rArry=a(x-8)^2+6#
#"to find a, substitute " (12,9)" into the equation"#
#9=16a+6rArra=3/16#
#rArry=3/16(x-8)^2+6larrcolor(red)" in vertex form"#
