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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.
What else can I help you with?
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.
How do you write an equation for a parabola in standard form?
To write an equation for a parabola in standard form, use the format ( y = a(x - h)^2 + k ) for a vertical parabola or ( x = a(y - k)^2 + h ) for a horizontal parabola. Here, ((h, k)) represents the vertex of the parabola, and (a) determines the direction and width of the parabola. If (a > 0), the parabola opens upwards (or to the right), while (a < 0) indicates it opens downwards (or to the left). To find the specific values of (h), (k), and (a), you may need to use given points or the vertex of the parabola.
How does an equation for a sideways parabola look like?
An equation for a sideways parabola can be expressed in the form ( y^2 = 4px ) for a parabola that opens to the right, or ( y^2 = -4px ) for one that opens to the left. Here, ( p ) represents the distance from the vertex to the focus. The vertex of the parabola is at the origin (0,0), and the axis of symmetry is horizontal. If the vertex is not at the origin, the equation can be adjusted to ( (y-k)^2 = 4p(x-h) ), where ((h, k)) is the vertex.
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
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.
How do you write an equation for a parabola in standard form?
To write an equation for a parabola in standard form, use the format ( y = a(x - h)^2 + k ) for a vertical parabola or ( x = a(y - k)^2 + h ) for a horizontal parabola. Here, ((h, k)) represents the vertex of the parabola, and (a) determines the direction and width of the parabola. If (a > 0), the parabola opens upwards (or to the right), while (a < 0) indicates it opens downwards (or to the left). To find the specific values of (h), (k), and (a), you may need to use given points or the vertex of the parabola.
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 does an equation for a sideways parabola look like?
An equation for a sideways parabola can be expressed in the form ( y^2 = 4px ) for a parabola that opens to the right, or ( y^2 = -4px ) for one that opens to the left. Here, ( p ) represents the distance from the vertex to the focus. The vertex of the parabola is at the origin (0,0), and the axis of symmetry is horizontal. If the vertex is not at the origin, the equation can be adjusted to ( (y-k)^2 = 4p(x-h) ), where ((h, k)) is the vertex.
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.
