Answer:
The parent function is [tex]f(x)=a(x-h)^{2} +k[/tex]
That Parabola's equation is [tex]f(x)=x^{2}[/tex]
Step-by-step explanation:
I can't really explain much, but the top equation is a formula for all equations for a parabola. h and k are the x and y-values of the vertex. a is, well, a.
How did I find the equation of the parabola? Simple. Since the vertex is on the origin, h and k are 0. Also, because it intercepts (2,4) and (1,1), a=1.
