SOLUTION: for each of the following find A)the vertex B)the y intercept C) the x intercept of f(x)=(x-1)^2-2

Algebra ->  Rational-functions -> SOLUTION: for each of the following find A)the vertex B)the y intercept C) the x intercept of f(x)=(x-1)^2-2      Log On


   

Question 747913: for each of the following find A)the vertex B)the y intercept C) the x intercept of f(x)=(x-1)^2-2
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
This parabola is in standard form - which is nice:
%0D%0Af%28x%29=%28x-1%29%5E2-2%0D%0A
%0D%0Af%28x%29=a%28x-h%29%5E2%2Bk%0D%0A
%0D%0AV%28h%2Ck%29%0D%0A


so our vertex is (1,-2)

to get the y-intercept set x=0, then


f%280%29=%280-1%29%5E2-2=1-2=-1

to get the x-intercept set f(x)=0, then

%0D%0A0=%28x-1%29%5E2-2%0D%0A
%0D%0A2=%28x-1%29%5E2%0D%0A


%0D%0Aabs%28x-1%29=2%0D%0A

so that
x-1=2 or x-1=-2
x=0 or x=-1

x-intercepts: {0, -1}

:)