What is the equation of the parabola that has a vertex at # (-14, 2) # and passes through point # (0,-17) #?

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What is the equation of the parabola that has a vertex at # (-14, 2) # and passes through point # (0,-17) #?

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Answer 1 · 2015-12-16T06:50:12

#y=-19/196(x+14)^2+2#

Explanation:

#y=a(x-h)^2+k#=> equation of parabola in vertex form where#(h, k)# is the vertex, then in this case:
#y=a(x+14)^2+2# => substitute#(x, y)=(0,-17)# to solve for #a#:
#-17=a(0+14)^2+2# => simplify:
#-19=196a#
#a=-19/196#
hence the equation is:
#y=-19/196(x+14)^2+2#

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What is the equation of the parabola that has a vertex at # (-14, 2) # and passes through point # (0,-17) #?

1 Answer

Explanation:

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