Describe how to transform the graph of f into the graph of g.
-$$f ( x ) = ( x + 7 ) ^ { 2 } \text { and } g ( x ) = - ( x - 1 ) ^ { 2 }$$
A) Shift the graph of $f$ left 8 units and reflect across the $x$-axis.
B) Shift the graph of $f$ down 8 units and reflect across the $y$-axis.
C) Shift the graph of $f$ right 8 units and reflect across the $x$-axis
D) Shift the graph of $f$ right 8 units.

Question

Quizplus · Accepted Answer

The graph of $f(x) = (x + 7)^2$ can be transformed into $g(x) = -(x - 1)^2$ by shifting 8 units to the right (from $x + 7$ to $x - 1$) and reflecting it across the $x$-axis (due to the negative sign in front of the function).

Describe How to Transform the Graph of F into the Graph