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+1)^2. Be sure to include th

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> 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+1)^2. Be sure to include th      Log On


   

Question 1077966: 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+1)^2. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

the number of x-intercepts in the graph of
in the graph of f%28x%29+=+x%5E2 there is one x-intercept; actually the graph touching x axis at origin
the number of x-intercepts in the graph of g%28x%29+=+%28x%2B1%29%5E2 is same, just it touching x axis at -1 because the graph is shifted 1 unit to the left, or g%28x%29+=+%28x%2B1%29%5E2 is f%28x%29 shifted 1 unit to the left
+graph%28+600%2C600%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2%2C+%28x%2B1%29%5E2%29+