Mathematics
Alybae
2016-04-17 10:40:51
Write the vertex form of the equation of the parabola which has a vertex of (0,0) and contains the points (2,-2)
ANSWERS
dough
2016-04-17 17:20:32

Vertex Form: y = a(x - h)² + k Vertex: (h,k) y = a(x - 0)² + 0  Point: (2,-2) ⇒ x = 2; y = -2 -2 = a(2 - 0)² + 0 Solve:       -2 = a(2 - 0)² + 0      -2 = a(2)² + 0      -2 = a(4) + 0     - 0             - 0 -------------------------      -2 = a(4)    -2      =     4a   ------        -------     4              4              a = -1/2  Plug "a" value into vertex form : y = -1/2(x - 0)² + 0 Final Answer: y = -1/2x  (The plus 0 does not need to be included in the final answer) I hope my answer is correct, but I am not 100% sure. Hope I could help in some sort of way.    

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