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maximum point :)
Jarred Krajcik
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The parabola opens downward the vertex is called?
The maximum.
What is maximum or minimum of a parabola depending on whether the parabola opens up or down?
Vertex
What is the vertex form of a parabola that opens left?
It is (y - b)^2 = ax + c
An equilateral triangle is inscribed in a parabola with its vertex at the vertex of the parabola how do you find the length of the equilateral triangle?
First you need more details about the parabola. Then - if the parabola opens upward - you can assume that the lowest point of the triangle is at the vertex; write an equation for each of the lines in the equilateral triangle. These lines will slope upwards (or downwards) at an angle of 60°; you must convert that to a slope (using the tangent function). Once you have the equation of the lines and the parabola, solve them simultaneously to check at what points they cross. Finally you can use the Pythagorean Theorem to calculate the length.
When a parabola opens downward the vertex is the what value?
The vertex is not affected by the direction that the parabola is facing. The vertex is the place where the two sides of the parabola meet. It is in the middle divides the shape in half. If you picture yourself looking at a bowl from the side and then imagining it as two dimensional, it would look like a parabola but for all of the filled in parts of the graph and the fact that the sides of the bowl don't continue on forever. The vertex is the bottom of the bowl, where the sides meet. You measure a vertex as you would a point; with a coordinate.
If the parabola opens upward the vertex is called?
maximum point :)
A parabola that opens upward?
Is a parabola whose directrix is below its vertex.
When a parabola opens upward the y coordinate of the vertex is a what?
Opening up, the vertex is a minimum.
The parabola opens downward the vertex is called?
The maximum.
If the parabola opens downward the vertex is called the?
The maximum point.
What is the equation of a parabola with a vertex at 0 0 and a focus at 0 6?
The standard equation for a Parabola with is vertex at the origin (0,0) is, x2 = 4cy if the parabola opens vertically upwards/downwards, or y2 = 4cx when the parabola opens sideways. As the focus is at (0,6) then the focus is vertically above the vertex and we have an upward opening parabola. Note that c is the distance from the vertex to the focus and in this case has a value of 6 (a positive number). The equation is thus, x2 = 4*6y = 24y
How does the value of a variable affect the direction the parabola opens?
If the value of the variable is negative then the parabola opens downwards and when the value of variable is positive the parabola opens upward.
What is maximum or minimum of a parabola depending on whether the parabola opens up or down?
Vertex
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.
What way does the parabola open if a is greater than 0?
If a is greater than zero then the parabola opens upward.
What is y equals x2 plus 2x plus 1 on a graph?
Interpreting that function as y=x2+2x+1, the graph of this function would be a parabola that opens upward. It would be equivalent to y=(x+1)2. Its vertex would be at (-1,0) and this vertex would be the parabola's only zero.
What is the vertex form of a parabola that opens left?
It is (y - b)^2 = ax + c
