What is the equation of the parabola that has a vertex at # (14, -9) # and passes through point # (12, -2) #?

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Answer 1 · 2015-11-26T19:15:33

Use the vertex form ...

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

Insert the values for the vertex (h,k) ...

#y=a(x-14)^2-9#

Next, solve for #a# by inserting #(12,-2)# ...

#-2=a(12-14)^2-9=4a-9#

#4a=7#

#a=7/4#

Finally, write the complete equation for the parabola ...

#y=(7/4)(x-14)^2-9#

hope that helped

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