In the image below we have a point at (3,8) that has gradient of -2 (imagine this point being the end of a linear function that has been limited as its in a piece wise function) and a parabola at with a turning point at (10,2).
My goal is to make it so that the turning point of the parabola stays where it is but the dilation of it reaches the point (3,8) and also has the same gradient at that point as well. so that it is a smooth transition between the point (3,8) and the parabola. Is this do-able? and could someone help me and give me the process on how to do it.
Thanks![Smile :) :)](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
My goal is to make it so that the turning point of the parabola stays where it is but the dilation of it reaches the point (3,8) and also has the same gradient at that point as well. so that it is a smooth transition between the point (3,8) and the parabola. Is this do-able? and could someone help me and give me the process on how to do it.
Thanks