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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.
How does finding the vertex of a parabola help you when graphing a quadratic equation?
Finding the vertex of the parabola is important because it tells you where the bottom (or the top, for a parabola that 'opens' downward), and thus where you can begin graphing.
When a parabola opens upward the y coordinate of the vertex is a what?
Opening up, the vertex is a minimum.
What does changing the value of a from a negative number to a positive number cause the parabola to do?
open upward
A parabola that opens upward?
A parabola that opens upward is a U-shaped curve where the vertex is the lowest point on the graph. It can be represented by the general equation y = ax^2 + bx + c, where a is a positive number. The axis of symmetry is a vertical line passing through the vertex, and the parabola is symmetric with respect to this line. The focus of the parabola lies on the axis of symmetry and is equidistant from the vertex and the directrix, which is a horizontal line parallel to the x-axis.
When you can tell the graph of quadratic function concave upward or downward?
If the sign of the term involving x2 is positive then it is concave upward, provided everybody agrees what concave upwards means. Just like y=x2 is concave upwards.
What is the definition of inflection point in math?
That's a point where the curve of a graph changes from "concave upward" to "concave downward", or vice versa.
What you call the point when a curve changing from concave upward to concave downward?
The point when a curve changes from concave upward to concave downward is called the inflection point. It is the point where the curve transitions from being curved "upwards" to being curved "downwards" or vice versa. At the inflection point, the rate of change of the curve's curvature changes sign.
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
Which way does a parabola open when the coefficient of its x2 term a is a negative?
A parabola opens downward when the coefficient of its ( x^2 ) term (denoted as ( a )) is negative. This means that the vertex of the parabola is the highest point on the graph. Conversely, if ( a ) is positive, the parabola opens upward.
Which way does a parabola open when the coefficient of its y term a is negative?
When the coefficient of the y term ( a ) in the equation of a parabola is negative, the parabola opens downward. This means that its vertex is the highest point on the graph. Conversely, if ( a ) were positive, the parabola would open upward.
Why is any parabola that opens upward or downward a function?
It is a function because for every point on the horizontal axis, the parabola identified one and only one point in the vertical direction.
Is concave mirror in shape of parabola?
no concave mirror is in shape of concave mirror
What is the standard form of the equation of a parabola that opens up or down?
The standard form of the equation of a parabola that opens up or down is given by ( y = a(x - h)^2 + k ), where ( (h, k) ) is the vertex of the parabola and ( a ) determines the direction and width of the parabola. If ( a > 0 ), the parabola opens upward, while if ( a < 0 ), it opens downward. The vertex form emphasizes the vertex's position and the effect of the coefficient ( a ) on the parabola's shape.
if the parabola open upward a is?
positive.
How do you know if a parabola opens up or down?
I think it's like this: x2+3x-5 So if the x2 part is a positive then it opens upward but if it's negative it goes downward.
The parabola opens downward the vertex is called?
The maximum.
