Given that point (x, y) is on the graph of y = 4 - x², express the distance from (3, 4) to (x, y) as a function of x.

ka1leE 2020-11-24 Answered
Given that point (x, y) is on the graph of y = 4 - x², express the distance from (3, 4) to (x, y) as a function of x.
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Expert Answer

Viktor Wiley
Answered 2020-11-25 Author has 84 answers

Use the Distance Formula:
d=(x2x1)2+(y2y1)2
Let (x1,y1)=(3,4)and(x2,y2)=(x,y) so that:
d=x32+(y4)2}
Substitute y=4x2 (since (x,y) is on this graph):
d=(x3)2+(4x24)2
d=(x3)2+(x2)2
d=x26x+9+x4
or
d(x)=x4+x26x+9

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