# 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"#