Question

mediums of parabola???​

Answer 1

Let's begin by looking at the standard form for the equation of a parabola. ... If the parabola is rotated so that its vertex is (h,k) and its axis of symmetry is parallel to the x-axis, it has an equation of (y - k)2 = 4p (x - h), where the focus is (h + p, k) and the directrix is x = h - p.

A parabola is the set of all points in the plane equidistant from a given line 



 (the conic section directrix) and a given point 



 not on the line (the focus). The focal parameter (i.e., the distance between the directrix and focus) is therefore given by 




 is the distance from the vertex to the directrix or focus. The surface of revolution obtained by rotating a parabola about its axis of symmetry is called aparaboloid.



The parabola was studied by Menaechmus in an attempt to achieve cube duplication. Menaechmus solved the problem by finding the intersection of the two parabolas

. Euclid wrote about the parabola, and it was given its present name by Apollonius. Pascal considered the parabola as a projection of a circle, and Galileo showed that projectiles falling under uniform gravity follow parabolic paths. Gregory and Newton considered the catacaustic properties of a parabola that bring parallel rays of light to a focus (MacTutor Archive), as illustrated above.
For a parabola opening to the right with vertex at (0, 0), the equation in Cartesian



 is known as the latus rectum. If the vertex is at 



 instead of (0, 0), the equation of the parabola is



(5)
If the parabola instead opens upwards, its equation is



(6)

Answer 2

Answer:

Step-by-step explanation:

A conic section, meaning a curve that is achieved when a plane intersects a cone. When the cutting plane is parallel to exactly one generating line of the cone, then the conic is unbounded and is called a parabola. Parabolas are U-shaped and go by the standard quadratic equation: y=ax2+bx+c

y

=

a

x

2

+

b

x

+

c

Also, a parabola has a focus (a point) and a directrix (a line), and any point on the parabola is equidistant from the focus and directrix. A parabola is found in quadratic equations, meaning ones of the general form ax2+bx+c

a

x

2

+

b

x

+

c

. A parabola is also just one of four conic sections, the other three being the circle, the ellipse and the hyperbola.

Conic sections, like the parabola, are introduced in basic mathematics, often in a Algebra I or Algebra II class, and are important to all mathematics

Hope it helps

Mark BRAINLIEST