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A parabola is (mathematically speaking) a quadratic function, which looks like this y = ax2 + bx + c where a, b and c are constants. (If three points on the curve are known, then a, b and c can be found.) The gradient, then, can be found by differentiation: dy/dx = 2ax + b A parabola has one maximal or minimal point, where the gradient is zero. 2ax + b = 0 x = -b/2a Use the original function to find the corresponding value of y: y = a(-b/2a)2 + b(-b/2a) + c = b2/4a - b2/2a + c = c - b2/4a So the coordinates of your turning point are ( -b/2a , c - b2/4a ) This result can also be derived by completing the square.
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How do you know if a parabola has a minimum or maximum value?
When you look at the parabola if it opens downwards then the parabola has a maximum value (because it is the highest point on the graph) if it opens upward then the parabola has a minimum value (because it's the lowest possible point on the graph)
What is another name for the maximum or minimum point of a quadratic graph?
Apex.
What is The turning point of a parabola?
the vertex, or very bottom point.I can also be called the maximum or minimum.
If the parabola opens downward the vertex is called the?
The maximum point.
How do you find the maximum or minimum point of a parabola?
You set the derivative equal to zero and solve the equation. For example y = x^2 + 5x +7 is the equation of a parabola. dy/dx = 2x +5. Setting 2x +5 = 0 then x = -5/2. When x = -5/2 y = 3/4. This is the minimum. We know it's a minimum and not a maximum because when x is large y is large.
What is the extreme point called on a parabola?
The vertex, or maximum, or minimum.
Where is the point on the parabola for the maximum area?
The point on the parabola where the maximum area occurs is at the vertex of the parabola. This is because the vertex represents the maximum or minimum point of a parabolic function.
How do you know if a parabola has a minimum or maximum value?
When you look at the parabola if it opens downwards then the parabola has a maximum value (because it is the highest point on the graph) if it opens upward then the parabola has a minimum value (because it's the lowest possible point on the graph)
What is another name for the maximum or minimum point of a quadratic graph?
Apex.
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.
What is The turning point of a parabola?
the vertex, or very bottom point.I can also be called the maximum or minimum.
What is the extreme point of the parabola?
It is either a maximum or minimum value depending on its downwards shape or its upwards shape
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
If a parable has a maximum point what shape does it have?
If you mean a parabola with a maximum point then it will look like an umbrella.
If the parabola opens downward the vertex is called the?
The maximum point.
If the parabola opens upward the vertex is called?
maximum point :)
If the parabola opens upward the vertex is called the?
maximum point :)
