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#34852

transformations

polynomials

functions

medium

45 sec

The function $f$ is defined by $f (x) = x^{2} - 4 x$ . In the $x y$ -plane, the graph of $f$ is shifted down 3 units to create the graph of function $g$ . If the graph of $y = g (x)$ passes through the point $(- 2, b)$ , what is the value of $b$ ?

• 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.