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 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^2-7. Be sure to include the       Log On


   

Question 1141353: 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 josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+f%28x%29+=+x%5E2+
x-intercepts occur where +f%28x%29+=+0+
+0+=+0%5E2+, so ( 0,0 ) is the only x-intercept
----------------------------------------------------
+g%28x%29+=+x%5E2+-+7+
+g%28x%29+=+f%28x%29+-+7+
x-intercepts occur where +g%28x%29+=+0+ and
this is when +f%28x%29+=+7+ or
+x%5E2+=+7+
+x+=+sqrt%287%29+ and
+x+=+-sqrt%287%29+