## College Algebra (10th Edition)

$y=(x-4)^3$
RECALL: (i) $y=-f(x)$ involves a reflection about the x-axis of the parent function $y=f(x)$. (ii) $y=af(x)$ involves either a vertical compression by a factor of $a$ of the parent function $f(x)$ when $a\gt 1$or a vertical stretch if $0\lt a \lt1$. (iii) $y=f(x) + k$ involves either a vertical shift of $k$ units upward of the parent function when $k\gt 0$ or $|k|$ units downward when $k \lt0$. The function graph involves a 4-unit shift to the right of the parent function. Thus, the equation of the function is: $y=f(x-h)^{3} \\y=(x-4)^3$