SOLUTION: Obtain the equation of the curve y=ax^2+bx+c,using the following conditions (i) d�y/dx�=2 (ii) The curve is at minimum when x=-1/2 (iii) The curve passes through the point (-2,-

Question 1106926: Obtain the equation of the curve y=ax^2+bx+c,using the following conditions
(i) d�y/dx�=2
(ii) The curve is at minimum when x=-1/2
(iii) The curve passes through the point (-2,- 4).
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
So, the first derivative is,

and the second is,

So,

.
.
.

Converting to vertex form,

So the minimum occurs at,

.
.
.

.
.
Finally using the point,

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.
.

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