If the directrix is horizontal, then the parabola opens (horizontally/vertically)

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jlo2niT · Accepted Answer

Step 1 Given: We must find the missing word in the given sentence. So, Definition of parabola said: A parabola is another type of conic section generated by the cross section of a cone intersected by a plane. An equation of the form: y=ax2+bx+c(a≠0) Step 2 The above equation is parabola opening upward if a&amp;gt;0 and opening downward if a&amp;lt;0. So, the geometrically definition of parabola is the set of all points in a plane that the equidistant from a fixed line called directrix and a fixed point called the focus. Step 3 In the standard form of a parabola, if x and y are replaced by x−handy−k, then the graph of the parabola is shifted h units horizontally and k units vertically. The vertex is (h, k), and the focus is (h,k+p). The directrix is the line defined by the equation y=k−p and the equation of the parabola is: (x−h)2=4p(y−k) Step 4 The equation of directrix y=k−p is horizontal. So, the parabola opens towards vertically. Thus, the missing word is Vertically.

If the directrix is horizontal, then the parabola opens (text{horizontally}/text{vertically})

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