Regular Pre Cal Warm Up Question

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Question Description
Hi!~
I just need the following questions answered. All that is needed is a graphing calculator or desmos. Just please list work in the simplest form with all steps included. Thank you!~

Let P = ( x, y ) be a point on the graph of y = x^2 – 8.

(a) Express the distance d from P to the point (0,-1) as a function of x
(b) What is d if x = 0?
(c) What is d if x = -1?
(d) Use a graphing utility to graph d = d(x)
(e) For what values of x is d the smallest?

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