Answer:
[tex]y=\frac13x^2[/tex]
Step-by-step explanation:
Each parabola [tex]y=ax^2[/tex] has a vertex at the origin.
Point (-3,3) means that x=-3, y=3 substitute it to the equation [tex]y=ax^2[/tex] and calculate "a".
[tex]3=a\cdot (-3)^2\\ 3=a\cdot 9\\ 3=9a\\ 9a=3\ \ \ \ |:9\\ a=\frac39\\ a=\frac13[/tex]
Put [tex]a=\frac13[/tex] to the equation [tex]y=ax^2[/tex]
[tex]y=\frac13x^2[/tex]
