This Seeking Tech guide will explain how you can beat the final boss without taking any damage in Jak and Daxter.
Use the following video walkthrough to go along with the text:
Phase #1
For the first phase, avoid running into the laser and then grab the Yellow Eco. You can then jump and shoot to attack the laser-shooting eye.
Afterwards, grab the blue eco and then use the launch pad to avoid the explosion. When falling down, avoid the dark eco to safely land. Do these actions in between every phase of the battle.
Phase #2
In the second phase, you need to pick up the Yellow Eco to shoot at the mobs. You can roll to get some extra distance if they get too close for comfort.
Phase #3
For the third phase, you will need to jump and hover to avoid the exploding mines. For the first set, you can stay on the left to dodge the waves of explosion. You can then use the Yellow Eco to attack the boss.
For the second set of mines, you can move left to right to make things easier. Afterwards, attack with more Yellow Eco.
Phase #4
For the fourth phase, you need to avoid the big energy ball. To easily dodge this attack, make sure you have enough space to move horizontally before he shoots.
Attack with the two bottom Yellow Eco powerups in between his attacks. Try not to get too overzealous with offense and you should get past this section without getting hit.
Phase #5
For the final phase, quickly grab the White Eco to end the fight.