$g \text { is related to the parent function. Use function notation to write } g \text { in terms of } f \text {. }$$g ( x ) = - 3 | x - 5 | - 1$
A) $g ( x ) = - 3 f ( x - 5 ) - 1$
B) $g ( x ) = - 3 f ( x - 5 ) + 1$
C) $g ( x ) = - 3 f ( x + 5 ) - 1$
D) $g ( x ) = 3 f ( x + 5 ) + 1$
E) $g ( x ) = 3 f ( x - 5 ) - 1$

Question

Quizplus · Accepted Answer

The function $g(x) = -3| x - 5 | - 1$ can be written in terms of a parent function $f(x) = |x|$ as $g(x) = -3f(x - 5) - 1$, where the transformation includes a horizontal shift right by 5 units, a vertical stretch by a factor of 3, a reflection across the x-axis, and a downward shift by 1 unit.

g is related to the parent function. Use function notation to write g in terms of f. g \text { is related to the parent function. Use function notation to write } g \text { in terms of } f \text {. }g is related to the parent function. Use function notation to write g in terms of f.

$g \text { is related to the parent function. Use function notation to write } g \text { in terms of } f \text {. }$