What is the equation of the parabola that has a vertex at # (-12, 11) # and passes through point # (-9,-16) #?
1 Answer
Jan 10, 2018
Explanation:
#"the equation of a parabola "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 multiplier"#
#"here "(h,k)=(-12,11)#
#rArry=a(x+12)^2+11#
#"to find a substitute "(-9,-16)" into the equation"#
#-16=9a+11rArra=3#
#rArry=3(x+12)^2+11#
#rArr(x+12)^2=1/3(y-11)larrcolor(blue)"is the equation"#
