🎓 CLEP Exam Prep

The graph of f(x) = x² is shifted 3 units to the left and 2 units down. Which equation represents the new graph?

A g(x) = (x - 3)² - 2
B g(x) = (x + 3)² - 2
C g(x) = (x - 3)² + 2
D g(x) = (x + 3)² + 2

✓ Correct Answer: Option B

A shift left by 'h' units is replacing x with (x+h). A shift down by 'k' units is subtracting 'k' from the function. So, shifting f(x)=x² 3 units left gives (x+3)², and then 2 units down gives (x+3)² - 2.

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