What is an equation of a parabola with a vertex at the origin and directrix x = 4.75?
y = -1/19x^2
y = 1/19x^2
y = -1/19y^2
y = 1/19y^2
The equation of a parabola with a vertex at the origin and a directrix x = 4.75 can be written in the form:
y^2 = 4px
where p is the distance between the vertex and the directrix. In this case, p = 4.75.
So, substituting p = 4.75 into the equation gives:
y^2 = 4(4.75)x
y^2 = 19x
Therefore, the equation of the parabola is y^2 = 19x.