SOLUTION: Can someone please help me with this problem: Consider f(x) = x^2; s(x) is f(x) shifted which way and how far, if s(x) = (x + 2)^2 - 3?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Can someone please help me with this problem: Consider f(x) = x^2; s(x) is f(x) shifted which way and how far, if s(x) = (x + 2)^2 - 3?      Log On


   



Question 154862: Can someone please help me with this problem:
Consider f(x) = x^2; s(x) is f(x) shifted which way and how far, if s(x) = (x + 2)^2 - 3?

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=(x-0)^2+0

the general form is f(x)=a(x-h)^2+k, where(h,k) is the vertex of the parabola

the number added to x inside the parentheses (h) causes a horizontal shift (x direction)
__ because of the minus sign in the general equation, the shift is opposite to the value of the number
__ s(x) is shifted left (negatively) by the 2 added to x

the number added outside of the parentheses (k) causes a vertical shift (y direction)
__ the value of k is the size (and direction) of the shift
__ s(x) is shifted up (positively) 3