Question

can someone please work with me to help me figure out how to do this assignment. My first equation is 3x+50 and i need 9 equations instead of 5 to make a roller coaster with smooth transitions

Answer 1

and your next equation would be a upside down parabola

whose y-intercept would be 50 and must have the same slope at (0,50)

Answer 2

so the next equation can be -2x^2+3x+50 right

Answer 3

why not just read the assignment... its really quite thorough

Answer 4

the equation is completely fine, now then the question becomes, where do you want the next point of the graph to start

Answer 5

at X=5

Answer 6

ok then using x=5, determine the continuation point by substituting it into the 2nd equation

then using the continuation point, determine the slope using first derivative

then using the point and first derivative, determine the equation of the 2nd line

then yadda yadda yadda
etc etc etc
so on and so forth

Answer 7

okkay i got al of that how do i make a loop as the 4th equation

Answer 8

eh... that very difficult,

as that would require at least 3 different curves

Answer 9

you would need to use 2 ellipses and 1 circle

but it would help if the end of the 3rd or 2nd equation's slope were 0