SOLUTION: When it asks for a turning point in a prabula graph is that x and y answer or just x? Beacuse the axis of symmetry is just x= answer so what about the turning point

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Question 738112: When it asks for a turning point in a prabula graph is that x and y answer or just x? Beacuse the axis of symmetry is just x= answer so what about the turning point
Found 2 solutions by Alan3354, DrBeeee:
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
When it asks for a turning point in a prabula graph is that x and y answer or just x? Beacuse the axis of symmetry is just x= answer so what about the turning point
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A turning point is a point, so you have to specify x and y, same as any point.
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The AOS is a line.
x = ... or y = ... are lines.

Answer by DrBeeee(684) (Show Source):
You can put this solution on YOUR website!
Yes, it is a POINT with two coordinates, x and y. The value of x is the value of the axis of symmetry, -b/(2a). You get the value of y by substituting that value of x into the parabolic equation of y and solving for y.
For example, Let the parabolic function be
(1) y = x^2 + 4x + 2
The axis of symmetry is
(2) x = -b/(2a) or
(3) x = -4/2 or
(4) x = -2
Now put (4) into (1) and get
(5) y = (-2)^2 + 4*(-2) + 2 or
(6) y = 4 - 8 + 2 or
(7) y = -2
At the point (-2,-2) the parabola reaches a minimum (in this case, because the parabola opens upward).