What is the equation of the parabola that has a vertex at # (0, 0) # and passes through point # (-12,-34) #?
1 Answer
May 25, 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)=(0,0)" thus"#
#y=ax^2#
#"to find a substitute "(-12,-34)" into the equation"#
#-34=a(-12)^2rArra=(-34)/144=-17/72#
#y=-17/72x^2larrcolor(red)"is the equation of the parabola"#
