Answer:
a) The standard form of the equation
Step-by-step explanation:
<u><em>Explanation:-</em></u>
A parabola is the set of all points in a plane that are equidistant from a fixed line and a fixed point (not in a line) in the plane
• The Fixed line is called the directrix of the parabola.
• The Fixed point is called the focus of the parabola.
• <em>A line through the focus and perpendicular to the directrix is called the axis of the parabola.
</em>
• The point of intersection of parabola with the axis is called the vertex of the parabola.
<em>Given Focus of the parabola S(0,a)= (0,4)</em>
<em>Given Focus is lies on y-axis and the directrix is parallel to x-axis</em>
<em>Given directrix of the parabola y = -4</em>
<em>Directrix y = -a </em>
<em> </em>
<em>Standard form of the parabola </em>
<em> x² = 4ay</em>
<em> x² = 4(4)y</em>
<em> x² = 16y</em>
<em> </em><em />
<em />