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What is the slope of a parabola?
a parabola doesn't have one slope, the slope is constantly changing as you move accross the graph. however, it is possible to find a slope to a line tangent to a point on a parabola. to do this, take the derivative of the equation for the given parabola. then, take the X,Y coordinate and plug in the x value for the point. So, if the graph of of the equation was given by y=x^2, the derivative would be dy/dx=2x. you would then take a point, e.x. (2,4) and plug in the x value, 2, into dy/dx=2x, yielding a slope of 4 for the line tangent to that point.
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.
What is the slope of a parabola of equation x equals cy2?
1/([*sqrt(cx)]
How do you find the endpoints of a parabola when you have the function of the line?
A parabola has no endpoints: it extends to infinity.A parabola has no endpoints: it extends to infinity.A parabola has no endpoints: it extends to infinity.A parabola has no endpoints: it extends to infinity.
What is a slope of a graph?
Did you mean the slope of a line/parabola/etc.? A slope, in its simplest terms, is how much a line angles away from the horizontal. It describes the steepness, sense, and incline of a line.Finding the slope of a line requires two distinct point ON a line. It's given by the equation: a = (y2 - y1) / (x2 - x1) where a is the slope, (x1,y1) are the coordinates of the first point, and (x2,y2) the coordinates of the second point. An equation for a straight line is usually represented as y = a*x + b; you could extract the slope by simply looking at the given values of a (the slope).Finding the slope of a curve (parabola, etc.) is taken at the tangent point. As you move along the curve, the slope changes (i.e the slope is NOT constant). The slope of a curve can be found by taking the derivative of the function that defines the curve. After derivation, you just plug in the values of x at where you want to find the slope at.
To find the value of a in a parabola opening up or down subtract the y-value of the parabola at the vertex from the y-value of the point on the parabola that is one unit to the of the vertex?
To find the value of a in a parabola opening up or down subtract the y-value of the parabola at the vertex from the y-value of the point on the parabola that is one unit to the right of the vertex.
How do you find the equation of a parabola if you know the equation of the tangent that touches it?
You need more than one tangent to find the equation of a parabola.
What is the relationship between a function and its derivative?
The derivative if a function is basically it's slope, or its rate of change. An example is the function y = 4x - 6. This is a line with a slope of 4. The derivative is y' = 4. Another example is the function y = 3x2. This is a parabola with a vertex at (0,0). Its derivative is y' = 6x. At x = 0, the slope of the parabola is 6*0, which is 0, since this is the vertex of the parabola. To the left, at x is -4 for example, the derivative (and therefore slope) is negative. To the right, at x = 5 for example, the derivative is positive. The farther away from the vertex, the greater the value of the derivative so the the slope of the function increases as you move away from the vertex (it gets steeper).
How do you draw a parabola on an equilateral triangle?
To graph a parabola you must find the axis of symmetry, determine the focal distance and write the focal as a point, and find the directrix. These are all the main points you need to be able to draw a parabola.
How do you find a parabola opening up or down?
If you can mash the equation for the parabola into the form Y = Ax2 + Bx + C, then the parabola opens up if 'A' is positive, and down if 'A' is negative.
To find the value of a in a parabola opening up or down, subtract the y-value of the parabola at the vertex from the y-value of the point on the parabola that is one unit to the of the vertex?
right
To find the value of a in a parabola opening left or right subtract the x value of the parabola at the vertex from the x value of the point on the parabola that is one unit the vertex?
Above
