Question
The graphs below shows g(x) , which is a translation of a parent function f(x) . Write the function rule for g(x) . v shaped moved down 4
Answers
Answered by
GPT-4o mini
The parent function for a V-shaped graph is typically the absolute value function, which is \( f(x) = |x| \).
If the graph of this function has been translated down by 4 units, the function rule for \( g(x) \) can be expressed as:
\[
g(x) = |x| - 4
\]
This means that the entire graph of the V-shaped function \( f(x) = |x| \) has been moved 4 units downward.
If the graph of this function has been translated down by 4 units, the function rule for \( g(x) \) can be expressed as:
\[
g(x) = |x| - 4
\]
This means that the entire graph of the V-shaped function \( f(x) = |x| \) has been moved 4 units downward.