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A quadratic cartesian equation (an equation with x and y values only) produces a vertical parabola. A pair of parametric equation (one with more variables than x and y) produces a horizontal parabola:
e.g:
x=at^2
y=2at
You're values of x and y will be in terms of a and this means your x axis will go from 0 to a to 2a to 3a etc. and your y axis goes from ...-3a to -2a to -a to 0 to a to 2a to 3a etc.
Your parabola will now be horizontal.
For more info on this, look up Further Pure 1 AS Maths- topic 3 coordinate systems.
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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.
What is the square root of a parabola?
A parabola is a 2-dimensional shape. A square root is a function whose arguments are numbers. The question does not make sense.
What is a horizontal projectile?
horizontal projectile means to project horizontaly from any height h and it forms equation of parabola if we throw any object it goes horizontal and after this it goes down and by the equation s=ut+1/2at*twe can find following things from it # time ofprojectile # distance travelled #effect of gravity
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.
Does a downwards parabola have a maximum?
A parabola that opens downwards has a maximum at its vertex. One way to find it is to take the derivative of the parabola's equation (for y = x2, for example, this is y = 2x), set that to zero, and solve (2x = 0; x = 0). This works because the only horizontal tangent line of a parabola is at its vertex. Please note that WikiAnswers is not here to do your homework for you. If this question is from work you have been assigned by a teacher or professor, I suggest you do the work yourself instead, which will help to increase your understanding of the subject matter and help you to become more familiar with it.
What is the equation of a horizontal parabola?
X = Ay2 + By + C
What is a parabola that opens to the right called?
It is a square root mapping. This is not a function since it is a one-to-many mapping.
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.
In a formula for a parabola what do h and k stand for?
In the formula for calculating a parabola the letters h and k stand for the location of the vertex of the parabola. The h is the horizontal place of the vertex on a graph and the k is the vertical place on a graph.
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.
Why is the domain of a parabola all real numbers?
The domain of a parabola is always all real numbers because the domain represents the possible x values. The x values are shown on the horizontal axis or x axis. Because, in a parabola, the 2 sides of the parabola go infinitely in a positive or negative direction, there is always a y value for any x value that u plug in to the equation.
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.
Why path of projectile is parabola?
The path of a projectile is a parabola because the force of gravity acts perpendicular to the initial velocity, causing the projectile to follow a curved trajectory. This curved path results from both horizontal and vertical motion, creating a parabolic shape.
How do you make a parabola on a graphing calculator?
just put x^2=y or (x^2)/y on the calculator, and then it makes a simple parabola.
What is the square root of a parabola?
A parabola is a 2-dimensional shape. A square root is a function whose arguments are numbers. The question does not make sense.
What is a horizontal projectile?
horizontal projectile means to project horizontaly from any height h and it forms equation of parabola if we throw any object it goes horizontal and after this it goes down and by the equation s=ut+1/2at*twe can find following things from it # time ofprojectile # distance travelled #effect of gravity
Is the area of a circle a linear or nonlinear of its radius?
Relationship between radius and area of a circle is nonlinear. Area = pi * radius^2, so it is like a quadratic. If you graphed radius on the horizontal, and area on the vertical, it would be a parabola (actually a half of a parabola, since you cannot have a negative radius).
