Give the equation of the function g whose graph is described.
-The graph of $f ( x ) = | x |$ is reflected across the $y$-axis. This graph is then vertically stretched by a factor of $7.9$. Finally, the graph is shifted 8 units downward.
A) $g ( x ) = 7.9 | - x | - 8$
B) $g ( x ) = 8 | - x | - 7.9$
C) $g ( x ) = 7.9 | - x | + 8$
D) $g ( x ) = - 7.9 | x | - 8$

Question

Quizplus · Accepted Answer

Reflecting $f(x) = |x|$ across the y-axis does not change its form because $|x| = |-x|$. The vertical stretch by a factor of 7.9 and downward shift by 8 units are represented by multiplying the function by 7.9 and subtracting 8, respectively, resulting in $g(x) = 7.9|-x| - 8$.

Give the Equation of the Function G Whose Graph Is f(x)=∣x∣f ( x ) = | x |f(x)=∣x∣

Give the Equation of the Function G Whose Graph Is $f ( x ) = | x |$