Answer:
[tex]x^{2} =3y[/tex]
Step-by-step explanation:
Notice that the focus is a points on the vertical axis, that means the parabolla opens vertically, and has the form
[tex]x^{2} =4py[/tex]
Because the parameter [tex]p[/tex] is positive and equal to 0.75. Additionally, the vertex is at the origin, that's why the equation is this simple.
Replacing the parameter value, we have
[tex]x^{2} =4(0.75)y\\x^{2} =3y[/tex]
Therefore, the equation of a parabolla with vertex at the origin and focus at (0, 0.75) is [tex]x^{2} =3y[/tex].
