Name: SAT Math Help & School Math Mastery
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#38624

transformations

functions

hard

90 sec

The function $f$ is defined by $f (x) = x^{3} - 2 x^{2} + 5 x - 12$ . In the $x y$ -plane, the graph of $y = g (x)$ is the result of translating the graph of $y = f (x)$ such that the $y$ -intercept of $g (x)$ is 3. What is the value of $g (2)$ ?

• 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.