Find eqn of cubit passing thru (3,0, (1,4), tangent to x-axis at origin

[precal stud]

Find an equation of the cubic function whose graph passes through the points (3,0) and (1,4) and is tangent to the x-axis at the origin

please show your work!
Thank you!

 

[stapel]

please show your work!

Showing your work is kind of your job (like you saw in the "Read Before Posting" thread that you read before posting).

Find an equation of the cubic function whose graph passes through the points (3,0) and (1,4) and is tangent to the x-axis at the origin

What are your thoughts? What have you tried? How far have you gotten? Where are you stuck? For instance, you plugged the two given points into the generic form of the cubic, creating two equations in four unknowns. You noted the implicit third point in the tangency information, and plugged this in, too. And... then what?

Please be complete. Thank you!