How do you write a quadratic equation with vertex; ( 0,1 ); point: ( 1,3 )?
1 Answer
May 18, 2017
Explanation:
#"the equation of a quadratic function 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)=(0,1)#
#rArry=a(x-0)^2+1#
#rArry=ax^2+1#
#"to find a, substitute " (1,3)" into the equation"#
#rArr3=a+1rArra=2#
#rArry=2x^2+1larrcolor(red)" in vertex form"#
graph{2x^2+1 [-10, 10, -5, 5]}