SOLUTION: What is the equation in standard form of a Parabola that contains the following points? (-2,-18) , (0,4) , (4,24)

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Question 670688: What is the equation in standard form of a Parabola that contains the following points?
(-2,-18) , (0,4) , (4,24)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

 y = ax^2 + bx + c  || (0,4) ⇒ c = 4

    4a - 2b  = -22  (-18-c)   ||Mult 1st Eq by 2 and Add to 2nd

   16a + 4b  = 20   (24-c)

     24a= -24

      a = -1   and b =  9 -4+%2B22+=+2b

y = -x^2 +9x + 4