# How do you write the equation of the parabola in vertex form given vertex (–4, 7) and also passes through the point (–3, 8)?

##### 1 Answer

Jul 30, 2018

#### Explanation:

#"the equation of a parabola in "color(blue)"vertex form"# is.

#•color(white)(x)y=a(x-h)^2+k#

#"where "(h,k)" are the coordinates of the vertex and a"#

#"is a multiplier"#

#"here "(h,k)=(-4,7)" hence"#

#y=a(x+4)^2+7#

#"to find a substitute "(-3,8)" into the equation"#

#8=a+7rArra=8-7=1#

#y=(x+4)^2+7larrcolor(red)"in vertex form"#