SOLUTION: A parabola y = ax^2 + bx + c has vertex (4, 2). If (2, 0) is on the parabola, then find the value of abc
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Question 258319: A parabola y = ax^2 + bx + c has vertex (4, 2). If (2, 0) is on the parabola, then find the value of abc
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The formula for the x position of the vertex is
Now using the points,
.
.
.
.
.
Now substitute for b.
1.
.
.
.
2.
Substitute into eq. 1 to solve for a.
Then,
and finally,
So then,
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