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#32135

substitution

polynomials

algebra

transformations

graphs

functions

medium

75 sec

The function $f$ is defined by $f (x) = x^{2} - 4 x + 7$ . In the $x y$ -plane, the graph of $y = g (x)$ is the result of translating the graph of $y = f (x)$ down 5 units. What is the minimum value of $g (x)$ ?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.