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2.) let P(x,y) be a point on the graph of y=x^2-4
A.) Draw an accurate sketch of this graph. Be sure to label your graph carefully and accurately.
B.) Mark and label the point (0,-1) on your graph. Express the distance d from P to the pint (0,-1) as a function of x.
C.) what is d if x=0
D.) what is d if x=-1
E._ use a graphing utility to graph d=d(x). Provide a sketch of what you see in your grapher, including the window dimensions.
F.) For what values of x is d the smallest? Round to the nearest tenth, if applicable.
Please help, I am extremely lost on this.
1 Answer
- PrabathLv 47 years agoFavorite Answer
A) draw the curve that passes through (-2,0),(0,-4),(2,0)
B) d=sqrt{(x-0)^2+(x^2-4+1)^2}= sqrt(2x^2 -6x +9)
c) d=sqrt(9)=3
D) d=sqrt(5)
F) d(2x^2 -6x +9)/dx =4x-6=0
when x=1.5
