Consider the parabola y = 1.5(x - 3)2 + 1 and the point P(3, 5.5) .
(a) Create a polynomial expression for the distance d from point P to an arbitrary point Q on the parabola.
(b) Make a plot of d versus x for 3 (c) Determine the coordinates of Q if d = 28.
(d) Determine the coordinates of Q that correspond to the smallest d, and calculate the corresponding value of d.

Transcribed Image Text:

P (3,5.5) 0