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#34855

transformations

polynomials

functions

hard

90 sec

The function $f$ is defined by $f (x) = 2 x^{2} - 5 x + 3$ . In the $x y$ -plane, the graph of $f$ is shifted right 3 units and then shifted up $k$ units to create the graph of function $h$ . If the graph of $y = h (x)$ passes through the point $(5, 10)$ , what is the value of $k$ ?

• 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.