What is the equation of the parabola that has a vertex at # (1, -4) # and passes through point # (2,-6) #?
1 Answer
Aug 20, 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)=(1,-4)#
#rArry=a(x-1)^2-4#
#"to find a substitute "(2,-6)" into the equation"#
#-6=a-4rArra=-2#
#rArry=-2(x-1)^2-4larrcolor(red)" in vertex form"#
#rArry=-2x^2+4x-6larrcolor(red)" in standard form"#
