Herrera Ryan
05/05/2023 · Junior High School
Write an equation for a function that has the graph with the shape of \( y=|x| \), but shifted right 4 units and up 2 units. \( f(x)=\square \) (Use integers or fractions for any numbers in the expression.)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To shift the graph of the function \( y = |x| \) to the right by 4 units, we replace \( x \) with \( x - 4 \). This gives us the function \( y = |x - 4| \).
Next, to shift the graph up by 2 units, we add 2 to the entire function. This results in the function \( y = |x - 4| + 2 \).
Putting it all together, the equation for the function is:
\[
f(x) = |x - 4| + 2
\]
Quick Answer
\( f(x) = |x - 4| + 2 \)
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