Question

Ana sketched the graphs of f(x)=x^2and g(x)=x^2-6 as shown below. Did she graph both of the functions correctly? Explain how you know.

Answer 1

No. See below.

Explanation:

Note that the term x^2 is common to both functions. g(x) has the same graph as does f(x), except that the graph of g(x) is that of f(x) translated 6 units DOWNward. Ana mistakenly translated the graph of f(x) UPward.