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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).

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bekkarmahdi702

Answer:

Step-by-step explanation:

To answer this question we should analyze both functions :

  • the intercepts with the x-axis are the numbers when a function f(x)=0

here we must solve both equations :

  1. x²=0
  2. x²+2=0

the first one is obvious x=0 the scond is more interesting :

x²+2=0⇔x²=-2 wich is impossible since x²≥0 unless we use complex numbers .

So we notice thatf has one intercept.

we added 2 to f to get g but no real intercepts

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