Question

plete the following: Find the locus of points whose: - abscissa is one-half the square of the ordinate.

Answer 1

Let y be the ordinate and x be the abcissa.

One half the square of the ordinate is written algebraically as:

$\frac{1}{2}y^2$

Since the abcissa is one half the square of the ordinate, then:

$x=\frac{1}{2}y^2$

Which is the equation of a parabola.