The distance from any point to the point is given by .
Let P=(x,y) be a point on the graph of y=sqrt(x). Express the distance d from P to the point (1,0) as a funtion of x.
so I did:
f(x)=sqrt((x^2)+(y^2))
f(x)=sqrt((x^2)+(sqrt(x)^2))
f(x)=sqrt(x^2+x)
f(x)=x(x+1)
my answer options are:
a) d(x) = x^2 +2x+2
b) d(x) = sqrt(x^2-x+1)
c) d(x) = sqrt(x^2-2x+2)
d) d(x) = x^2 -x+1
What am I doing wrong?
Okay, why did you do that? What happened to the point (1, 0)? What you give (until your last line) is the distance from to (0, 0). But your last line is wrong- , not . For that you still need the square root: .
But as I said, that would give the distance to (0, 0), not (1, 0).
Start with and then replace with x.
ok, so then :
I did what I did because I was following the example in the book. That's what was throwing me off. This book doesn't explain thouroughly enough. It just shows a few examples and that's it. I usually use mathway, but I am really struggling with these last 3 word problems!!