What is the equation of the parabola that has a vertex at # (2, 3) # and passes through point # (1, 0) #?

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Answer 1 · 2015-11-30T02:34:19

#y=a(x-h)^2+k#

vertex #=(h,k)#

Substituting the vertex into the equation for parabola:

#y=a(x-2)^2+3#

Next, substitute the point #(1,0)# and solve for #a#

#0=a(1-2)^2+3=a+3#
#a=-3#

equation of parabola: #y=-3(x-2)^2+3#

hope that helped