Which describes how the spring constant affects the potential energy of an object for a given displacement from an equilibrium position?

the higher the spring constant, the greater the gravitational potential energy.
the lower the spring constant, the greater the gravitational potential energy.
the higher the spring constant, the greater the elastic potential energy.
the lower the spring constant, the greater the elastic potential energy.

The higher the spring constant, the greater the elastic potential energy.

Explanation:

As we know that gravitational potential energy is given as

while spring potential energy is given as

so gravitational potential energy is independent of spring constant while elastic potential energy depends on spring constant.

So here more is the spring constant then its elastic potential energy will be more.

the independent variable, or the one that is intentionally manipulated is the speed.