What do the parables of Luke 15 teach about the role of the Trinity in salvation?

In the three parables of Luke 15 — the lost sheep, lost coin, and lost son — we see the active roles of the Father, Son, and Holy Spirit in the process of salvation. The shepherd represents Christ, who reaches out to save the lost. The woman seeking the coin symbolizes the Holy Spirit, shedding light on the lostness of individuals and drawing them to Christ through the gospel. Finally, the father in the parable of the prodigal son exemplifies the gracious love of the Heavenly Father, who desires that none should perish. These parables collectively affirm that the work of salvation is a Trinitarian effort, showcasing the loving pursuit of God for His elect.