Question

Write a formula for the distance between a point (x, y) on the graph of y = x^4 and the point (3, 6). Express your answer in terms of x.

Answer 1

Distance between points is given by the formula:
$D = \sqrt{(x1-x2 ) ^{2}+ ( y1 - y2) ^{2} }$
We will plug in the coordinates:
$D = \sqrt{( 3-x) ^{2} + ( 6- x^{4} )^{2} }$