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- One line, Y=X, is fixed. You can manipulate the position of another line, Y=MX+B, by altering the values of M or B. There are also questions to go with this graph.
Parabola Sketch 1
- Similar to the first graph, here there's a fixed parabola Y=X^2, and one to experiment with, Y=AX^2+C.
Parabola Sketch 2
- Change even more variables by comparing Y=X^2 with Y=A(X-H)^2+K.
These five sketches take you step-by-step through the solution of the
tangent line problem:
Tangent Line Problem
Given a function f and a point P on f, find an equation of the tangent
to the graph at P. Why would you want to do this, and how would you go about
solving this problem?
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These five sketches take you step-by-step through the solution of the tangent line problem: