Question

Given parent function f(x) = |x| transformed

to g(x)=f(x - 3) + 5. Find g(3).
− ¾½
A. 3
B. -3
C. 5
D. -5

Answer 1

To find g(3) using the given transformation, we substitute x = 3 into the function g(x) = f(x - 3) + 5.

Given that f(x) is the parent function |x|, we can evaluate g(3) as follows:

g(3) = f(3 - 3) + 5

= f(0) + 5

Since the absolute value of 0 is 0, we have:

g(3) = |0| + 5

= 0 + 5

= 5

Therefore, the value of g(3) is 5.

The correct answer is C. 5.