What is the equation of the parabola that has a vertex at # (69, -2) # and passes through point # (63,34) #?
1 Answer
Oct 6, 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 multiplier"#
#"here "(h,k)=(69,-2)#
#rArry=a(x-69)^2-2#
#"to find a substitute "(63,34)" into the equation"#
#34=36a-2rArra=1#
#rArry=(x-69)^2-2larrcolor(red)" in vertex form"#
