The function that has the same y-intercept as the function f(x)=|x-2| + 3 is g(x) =|x| + 5
Which function has the same y-intercept as the function f(x)=|x-2| + 3?
The function is given as:
f(x)=|x-2| + 3
Set x to 0 to determine the y-intercept
f(0)=|0-2| + 3
Expand
f(0) = 2 + 3
Evaluate
f(0) = 5
From the options, we have
g(x) =|x| + 5
This gives
g(0) =|0| + 5
Evaluate
g(0) = 5
Hence, the function that has the same y-intercept as the function f(x)=|x-2| + 3 is g(x) =|x| + 5
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