SOLUTION: In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) =x^2 to the number of x-intercepts in the graph of g(x) = x^2 +2. Be sure to include the

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) =x^2 to the number of x-intercepts in the graph of g(x) = x^2 +2. Be sure to include the       Log On


   



Question 1077963: In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) =x^2 to the number of x-intercepts in the graph of g(x) = x^2 +2. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
There is one x-intercept for +f%28x%29+ at (0,0)
+g%28x%29+ is +f%28x%29+ raised vertically by +2+
units, so there is no x-intercept for +g%28x%29+
You can see this by +g%28x%29+=+0+ and
+x%5E2+%2B+2+=+0+, then +x+=+sqrt%282%29%2Ai+
+x+=+-sqrt%282%29%2Ai+