Question

what type of equations are the equations that represents the parabola

Answer 1

Step-by-step explanation:

The standard form is (x - h)2 = 4p (y - k), where the focus is (h, k + p) and the directrix is y = k - p. 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.

Answer 2

Answer:

A parabola represents a graph of quadratic function. The general equation represented in a parabola is : y = a(x-h)2 + k or x = a(y-k)2 +h.

Here, h and k are the vertex. This equation can be standardized as y2 = 4ax.

Explanation:

The important terms related to understand the parabola are;

1. Focus
2. Directrix
3. Focal chord
4. Focal distance
5. Latus Rectum
6. Eccentricity

Parabola formula:

• The value of a determines the direction of parabola.
• h and k is the vertex h and k is -b/2a and f(h) respectively.
• The formula of latus rectum can be calculated from 4a.
• Focus: (h, k+ (1/4a))
• Directrix: y = k - 1/4a

Hence, the general formula of parabola is y2 = 4ax.

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