which absolute value function, when graphed, represents the parent function, f(x) = |x|, reflected over the…

which absolute value function, when graphed, represents the parent function, f(x) = |x|, reflected over the x - axis?\n○ f(x)=-|x|\n○ f(x)=|-x|\n○ f(x)=|x| + 1\n○ f(x)=|x - 1|

which absolute value function, when graphed, represents the parent function, f(x) = |x|, reflected over the x - axis?\n○ f(x)=-|x|\n○ f(x)=|-x|\n○ f(x)=|x| + 1\n○ f(x)=|x - 1|

Answer

Explanation:

Step1: Recall reflection rule

When a function $y = f(x)$ is reflected over the $x - axis$, the transformation is $y=-f(x)$.

Step2: Apply to absolute - value function

For the parent absolute - value function $f(x)=|x|$, when reflected over the $x - axis$, the new function is $y = -|x|$.

Answer:

$f(x)=-|x|$