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Its extremum is on its axis of symmetry.

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โˆ™ 2015-10-10 19:43:59
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Q: Which point of parabola is on the axis of symmetry?
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Related questions

What is the extreme point on a parabola?

The highest or lowest point of the parabola, it is the point that is closest to the focus. The extreme point lies on the axis of symmetry

Where is the axis of symmetry of a parabola located?

Parallel to the y-axis, going through the highest/lowest point of the parabola (if the parabola is negative/positive, respectively).

What line divides the parabola where one point on one side of the parabola and the corresponding point on the other side?

the axis of symmetry

A parabola has an axis of symmetry.?

Yes, it does.

What is the extreme point of a parabola?

The extreme point it the highest or lowest point of the parabola (depending if it is concave downwards or upwards). It is the point of the parabola tat is closest to the focus. the extreme point lies on the axis of symmetry.

Parts of a parabola?

There's the vertex (turning point), axis of symmetry, the roots, the maximum or minimum, and of course the parabola which is the curve.

Where is the line of symmety located on a parabola?

The line of symmetry located on a parabola is right down the center. A parabola is a U shape. Depending on the direction of the parabola it either has a x axis of symmetry or y axis of symmetry. You should have two equal sides of the parabola.

What is the axis of symmetry for the parabola with vertex (-2 -4) and directrix y 1?

The axis of symmetry is x = -2.

What is the point of which a parabola intersects the axis of symmetry called?

if it opens up then the point is called the minimum if it opens down its called the maximum

An equation of a parabola that has x equals 2 as its axis of symmetry is?

How about y = (x - 2)2 = x2 - 4x + 4 ? That is the equation of a parabola whose axis of symmetry is the vertical line, x = 2. Its vertex is located at the point (2, 0).

How many foci does a parabola have?

A parabola has a single focus point. There is a line running perpendicular to the axis of symmetry of the parabola called the directrix. A line running from the focus to a point on the parabola is going to have the same distance as from the point on the parabola to the closest point of the directrix. In theory you could look at a parabola as being an ellipse with one focus at infinity, but that really doesn't help any. ■

What do you know about a function that is made up of ordered pairs in such a way that the same y-value appears in a correspondence with two different x-values?

For example, y = ax2 + bx + c (the equation of a parabola). Every parabola has an axis of symmetry and the graph to either side of the axis of symmetry is a mirror image of the other side. It means that if we know a point on one side of the parabola, we can find its symmetric point to the other side, based on the axis of symmetry. Those symmetric points have opposite x-coordinate values, and the same y-coordinate value. The vertex only is a single point which lies on the axis of symmetry.

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