This is a project in my calc 1 class. we are allowed to get help from others, but i couldn't find a tutor in our math lab that could help.

What I know: I know how to find the equation of tan line of a point thats on the graph. i would take derivative of y=x^2, which is dy/dx=2x. if i took a point lets say (2,2) on graph of y=x^2, i would take the x=2 and imput into derivative, which would give me the slope , then imput my values into y-y1=m(x-x1) simplify and get the equation of a tan line. What im confused is how to do with a point that is not on graph of y=x^2. Am i on the right track, or am i totally confused about what i need to do. Any suggestions and or tips would be greatly appreciated. Thanks ahead of time, Matt