Name: SAT Math Help & School Math Mastery
Availability: InStock

Loading...

#37000

transformations

functions

hard

90 sec

The function $f$ is defined by $f (x) = x^{3} - 4 x$ . In the $x y$ -plane, the graph of $y = g (x)$ is the result of reflecting the graph of $y = f (x)$ across the $x$ -axis, and then shifting it up 3 units. Which equation defines function $g$ ?

A.

$g (x) = - (x^{3} - 4 x) + 3$

B.

$g (x) = (- x)^{3} - 4 (- x) + 3$

C.

$g (x) = - (x^{3} - 4 x) - 3$

D.

$g (x) = x^{3} - 4 x + 3$