Graphics2D, Scale picture and JScrollPane

Question

I allowed myself to copy an example from the answer because it concerns my problem. JScrollPane & Graphics2D I've problem with connection JScrollPane with Graphics2D scale. Is there any possibility to relate it?

import java.awt.Dimension;
import java.awt.EventQueue;
import java.awt.Graphics;
import java.awt.Graphics2D;
import javax.swing.JFrame;
import javax.swing.JPanel;
import javax.swing.JScrollPane;
import javax.swing.UIManager;
import javax.swing.UnsupportedLookAndFeelException;

public class Test extends JPanel {

    public static void main(String... args) {
        EventQueue.invokeLater(new Runnable() {
            @Override
            public void run() {
                try {
                    UIManager.setLookAndFeel(UIManager.getSystemLookAndFeelClassName());
                } catch (ClassNotFoundException | InstantiationException | IllegalAccessException | UnsupportedLookAndFeelException ex) {
                    ex.printStackTrace();
                }
                Test test = new Test();
                JFrame frame = new JFrame();
                JScrollPane scrollPane = new JScrollPane(test);
                frame.add(scrollPane);
                frame.pack();
                frame.setDefaultCloseOperation(JFrame.DISPOSE_ON_CLOSE);
                frame.setVisible(true);
            }
        });
    }

    @Override
    public Dimension getPreferredSize() {
        return new Dimension(3000, 3000);
    }

    @Override
    protected void paintComponent(Graphics g) {
        super.paintComponent(g);
        Graphics2D g2 = (Graphics2D) g;
        g2.scale(1, 0.3);//I need to scale my picture
        g2.drawLine(30, 30, 30, 3000);
        g2.drawLine(30, 400, 500, 3000);
    }
}

My question is: How to connect g2.scale(1, 0.3) with scrollPane? When I use g2.scale(1,0.3) then scrollPane shouldn't show up. But it's still there and scale doesn't work on it.
Thank you for any help.