Final answer:
The function that has the same end behavior as y = 5x - 5 is Option C. h(x) = -2x + 5.
Step-by-step explanation:
To determine which function has the same end behavior as y = 5x - 5, we need to examine the slope and y-intercept of each option.
A. h(x) = (x - 1)² + 5 has a different end behavior because its slope decreases in magnitude with increasing x, while y = 5x - 5 has a constant slope of 5.
B. h(x) = 4x - 1 also has a different end behavior because its slope is 4, not 5.
C. h(x) = -2x + 5 has the same end behavior as y = 5x - 5 because they both have a slope of 5 and a y-intercept of -5.
D. h(x) = -2(x - 3)² - 1 has a different end behavior because its slope changes as x changes, while y = 5x - 5 has a constant slope.
Therefore, the function that has the same end behavior as y = 5x - 5 is Option C. h(x) = -2x + 5.