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ebreazoqswam
ebreazoqswam ebreazoqswam
  • 23-07-2016
  • Mathematics
Answered

A parabola has a vertex at (4, 0) and passes through the point (6, 1). What is the equation of the parabola?

Verified Answer :

meerkat18
meerkat18 meerkat18
  • 27-07-2016

we are given the vertex of  a parabola equal to (4, 0) and that the passes the point (6,1). In this case, it is assumed from the given that the parabola is facing upwards. In this case, the equation is (y-k) = 4a (x-h)^2 ; y = 4a (x-4)^2 when x is 6 and y is 1. then, 
 1 = 4a (6-4)^24a is equal to 1/4
the equation then is y = 1/4 (x-4)^2

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