Answer:
A. and D.
Step-by-step explanation:
Answer:
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Step-by-step explanation:
Using translation concepts, the absolute value function with these characteristics is given by:
f(x) = |x - 2| + 4.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The parent absolute value function is given by:
f(x) = |x|
And has vertex at (0,0).
With the vertex at (2,4), we have that:
- The function was shifted 2 units right, hence x -> x - 2.
- The function was shifted 4 units up, hence f(x) - > f(x) + 4.
Hence the absolute value function with these characteristics is given by:
f(x) = |x - 2| + 4.
More can be learned about translation concepts at brainly.com/question/4521517
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