Maple 2016 help pls

[Flowey]

Alright so for one of my project I need to code a "program" Inside Maple 2016. Said program would take 3 variables that the teacher could change at will, x,k et j. A fonction would be defined as such : f(x) = e*x^2 +k, and the program would plot a graph of said fonction and 2 tangents at the x coordinate j and -j. So basically it need to plot a graph of the area contained within those 2 tangents and the original function, and give the area contained within those 2 regions.

 

So, I'm kind of wondering if anyone of y'all has some knowledge of how to code such a thing? I was thinking of getting a list with those 3 variables, then calculate those 2 tangents and add the 2 values (j; f(j))(-j;f(-j)) to the list. Then plot the graph with this list and the 2 tangents. At which point I might get some errors regarding x since if x is defined the original function is not a function anymore, containing only numbers?

 

So yeah, if anybody understands any of this and sees how I should code this monstruous thing, pls help!