Question

$\underline{\textbf{prove the standard equation of parabola }}$

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Answer 1

Step-by-step explanation:

f (x) = a(x - h)^2 + k, where (h, k) is the vertex of the parabola. FYI: Different textbooks have different interpretations of the reference "standard form" of a quadratic function. Some say f (x) = ax^2 + bx + c is "standard form", while others say that f (x) = a(x - h)^2 + k is "standard form".

Answer 2

Answer:

$\huge{Answer:-}$

$\underline{Parabola:-}$

➡️a curve like the path of an object that is thrown through the air and falls back to earth.

OR

➡️a parabola is a plane curve which is mirror-symmetrical and is approximately U shaped.

Standard equation of parabola:-

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

=>where the focus is (h, k + p) and the directrix is y = k - p. If theparabola is rotated so that its vertex is (h,k) and its axis of symmetry is parallel to the x-axis

=> it also has an equation of (y - k)2 = 4p (x - h), where the focus is (h + p, k) and the directrix is x = h - p.

@Be brainly

Cubingwitsk ........ :)