What is a equation for this data. X=0,Y=2,X=1,Y=120,and X=2,Y=7200

What is a equation for this data. X=0,Y=2,X=1,Y=120,and X=2,Y=7200

$$\small{\text{ A parabola $ y=ax^2+bx+c $ is a equation. We need to calulate a, b and c. }}$\\$ \small{\text{ We have $x_1 = 0$ and $y_1 =2 $ and calculate $ y_1=ax_1^2+bx_1+c \Rightarrow 2 = 0 + 0 + c \Rightarrow \textcolor[rgb]{1,0,0}{ c = 2 } $ }}$\\$ \small{\text{ We also have $x_2 = 1$ and $y_2 =120 $ and calculate $ y_2=ax_2^2+bx_2+2 \Rightarrow 120 = a + b + 2 $ }} $\\$ \small{\text{ $\Rightarrow a + b = 118 \quad (1)$ }} $\\$ \small{\text{ Last but not least $x_3 = 2$ and $y_3 =7200 $ and calculate $ y_3=ax_3^2+bx_3+2 \Rightarrow 7200= a*4 + b*2 + 2 $ }} $\\$ \small{\text{ $\Rightarrow 4a + 2b = 7198 \quad (2)$ }}$\\\\$ (1) \quad a + b = 118 \quad | \quad *2\\ (1) \quad 2a + 2b = 236 \\ (2) \quad 4a + 2b = 7198 \\ (2)-(1): 4a-2a = 2a = 7198 - 236 \\ \textcolor[rgb]{1,0,0}{a = 3481}\\ a+b= 118 \\ 3481 + b = 118 \\ b= 118 - 3481 \\ \textcolor[rgb]{1,0,0}{b = -3363}\\ \small{\text{ The equation is \boxed{ $y = 3481x^2 - 3363x+2$ } }} $\\\\$ \small{\text{ Proof: $ y(0) = 0-0+2 = 2 $ okay! }}$\\$ \small{\text{ Proof: $ y(1) = 3481-3363+2 = 120 $ okay! }}$\\$ \small{\text{ Proof: $ y(2) = 3481*4-3363*2+2 = 7200 $ okay! }}$$