Question

Write an equation to model the distance between the point (2,4) and any point along the curve y=4x^3+1

Answer 1

You can accomplish this using the distance formula.

Answer 2

\[d = \sqrt(x_2 - x_1)^2 + (y_2 - y_1)^2\]

Answer 3

How would I put the equation into the distance formula?

Answer 4

could i solve in terms of each variable

Answer 5

Well when y = f(x), you can plug in f(x) in for one of the y.

Answer 6

\[d = \sqrt(x - 2)^2 + (f(x) - 4)^2\]

Answer 7

Thank you for your help