What is the equation of the parabola that has a vertex at # (2, -3) # and passes through point # (1, 0) #?
1 Answer
May 16, 2018
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)=(2,-3)#
#rArry=a(x-2)^2-3#
#"to find a substitute "(1,0)" into the equation"#
#0=a-3rArra=3#
#rArry=3(x-2)^2-3larrcolor(red)"in vertex form"#
