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Solve for when the first derivative is equal to zero. If you don't know how to take a derivative, then put the equation into the form y = Ax2 + Bx + C. The derivative of this will be 2Ax + B, so at x = -B / (2*A), and y = -B2/(4*A) + C
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What is maximum or minimum of a parabola depending on whether the parabola opens up or down?
Vertex
What is the relationship of a vertex to a parabola?
The vertex is either the minimum (very bottom) or maximum (very top) of a parabola.
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 maximum number and the minimum number of intercepts for a parabola?
there can be 0, 1, 2, or infinite intercepts for a parabola 0 intercepts occurs when the parabola does not meet the 2nd line 1 occurs when the parabola intersects a line at the vertex 2 occurs when the line does not intersect at the vertex, but still intersects the parabola infinite occurs when there are 2 parabolas, that although they may be written differently, are the same on a graph.
The parabola opens downward the vertex is called?
The maximum.
What do you call the maximum or the minimum of a parabola?
A parabola's maximum or minimum is its vertex.
The maximum or minimum of a parabola depending on whether the parabola opens up or down?
A parabola opening up has a minimum, while a parabola opening down has a maximum.
What is maximum or minimum of a parabola depending on whether the parabola opens up or down?
Vertex
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 the extreme point called on a parabola?
The vertex, or maximum, or minimum.
What is the relationship of a vertex to a parabola?
The vertex is either the minimum (very bottom) or maximum (very top) of a parabola.
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 another name for the maximum or minimum point of a quadratic graph?
Apex.
How do you tell if a quadratic function is minimum value or a maximum vale?
Standard notation for a quadratic function: y= ax2 + bx + c which forms a parabola, a is positive , minimum value (parabola opens upwards on an x-y graph) a is negative, maximum value (parabola opens downward) See related link.
What is the vertex for the parabola y equals x squared plus 4x plus 5?
The vertex of a parabola is the minimum or maximum value of the parabola. To find the maximum/minimum of a parabola complete the square: x² + 4x + 5 = x² + 4x + 4 - 4 + 5 = (x² + 4x + 4) + (-4 + 5) = (x + 2)² + 1 As (x + 2)² is greater than or equal to 0, the minimum value (vertex) occurs when this is zero, ie (x + 2)² = 0 → x + 2 = 0 → x = -2 As (x + 2)² = 0, the minimum value is 0 + 1 = 1. Thus the vertex of the parabola is at (-2, 1).
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
