# How do you write the quadratic function in vertex form given vertex (0,0) and point (-2,-12)?

##### 1 Answer

May 25, 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)=(0,0)#

#rArry=ax^2#

#"to find a, substitute " (-2,-12)" into the equation"#

#-12=4arArra=-3#

#rArry=-3(x-0)^2+0larrcolor(red)" in vertex form"#