What is the equation of the parabola that has a vertex at # (2, -9) # and passes through point # (6, -4) #?
1 Answer
Aug 18, 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)=(2,-9)#
#rArry=a(x-2)^2-9#
#"to find a substitute "(6,-4)" into the equation"#
#-4=16a-9rArra=5/16#
#rArry=5/16(x-2)^2-9larrcolor(red)" in vertex form"#
graph{5/16(x-2)^2-9 [-20, 20, -10, 10]}
