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 +7. 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^2 +7. Be sure to include th      Log On


   

Question 1077977: 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 +7. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
y=x^2 has an intercept at the origin (with multiplicity 2, meaning it has a "bounce" at that point.
When the function is moved upward 7 units(+7) and the sign is changed to -x^2, it is concave upward, rather than downward, and now it will have two x-intercepts or roots, at (sqrt(7),0) and (-sqrt(7),0)
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