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A parabola has a minimum value when it looks like the letter U

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9y ago

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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)


Is the vertex of a parabola occurs at the minimum value of the function?

Yes if it is positive


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 do you call the maximum or the minimum of a parabola?

A parabola's maximum or minimum is its vertex.


What would you want to be a parabola open upward or open downward?

It can be either depending on its minimum value or its maximum value


Is the vertex the highest or lowest value in the parabola?

The vertex of a parabola represents the highest or lowest point depending on the direction it opens. If the parabola opens upwards, the vertex is the lowest point (minimum value). Conversely, if it opens downwards, the vertex is the highest point (maximum value).


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 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 vertex of the parabola when y equals 3x squared plus 2x minus 1?

The minimum value of the parabola is at the point (-1/3, -4/3)


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 minimum point?

This is the coordinate of the vertex for a parabola that opens up, defined by a positive value of x^2.


What does changing the value of a from a positive number to a negative number cause a parabola to do?

Assuming that a is the leading coefficient of the equation of the parabola, changing it from positive to negative will reflect the parabola along a horizontal line through its minimum - which will then become its maximum.