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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.
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 maximum or minimum of a parabola depending on whether the parabola opens up or down?
Vertex
Where is the vertex of a parabola?
when the function is in vertex form: y = a(x - h)2 + k, the point (h, k) is the vertex.
What is the vertex of the parabola y equals x2 plus 8x plus 5?
The vertex has a minimum value of (-4, -11)
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.
What do you call the maximum or the minimum of a parabola?
A parabola's maximum or minimum is its vertex.
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.
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 called on a parabola?
The vertex, or maximum, or minimum.
What is maximum or minimum of a parabola depending on whether the parabola opens up or down?
Vertex
When a parabola opens upward the y coordinate of the vertex is a what?
Opening up, the vertex is a minimum.
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).
Where is the vertex of a parabola?
when the function is in vertex form: y = a(x - h)2 + k, the point (h, k) is the vertex.
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 vertex of the parabola y equals x2 plus 8x plus 5?
The vertex has a minimum value of (-4, -11)
What different information do you get from vertex form and quadratic equation in standard form?
The graph of a quadratic function is always a parabola. If you put the equation (or function) into vertex form, you can read off the coordinates of the vertex, and you know the shape and orientation (up/down) of the parabola.
