How do you write the equation of the parabola in vertex form given vertex:(0,5) point:(3,8)?
1 Answer
Aug 17, 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)=(0,5)#
#rArry=a(x-0)^2+5#
#"to find a substitute "(3,8)" into the equation"#
#8=9a+5rArra=1/3#
#rArry=1/3x^2+5larrcolor(red)" in vertex form"#
