SOLUTION: A parabola with an equation of the form y = ax^2 + bx + c has the point (-2, 1) as its vertex. If (-4, 5) also lies on the parabola, which of the following is another point on th

Question 366485: A parabola with an equation of the form y = ax^2 + bx + c has the point (-2, 1) as its vertex. If (-4, 5) also lies on the parabola, which of the following is
another point on this parabola?
(A) (-4, 3) (B) (-1, 3) (C) (0, 5) (D) (2, 1) (E) (4, 5)
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Since the vertex occurs at (,), the line of symmetry is .
Since (,) is a point on the line, find the x value equidistant from the line of symmetry.
The x-distance from (,) to the line of symmetry is .
Then add to the x position of the line of symmetry x position to get the point symmetric to (,).

.
.
(,) is another point on the parabola.
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.
.

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