Advanced MathHardSame zeros, opposite direction
Advanced Math practice question
Which of the following functions has the same zeros as f(x) = x² − 9 but a graph that opens downward?
- A. g(x) = −x² + 9Correct
- B. g(x) = x² + 9
- C. g(x) = −x² − 9
- D. g(x) = 9x²
Answer: A. g(x) = −x² + 9
−x² + 9 = −(x² − 9) has zeros at ±3 and a negative leading coefficient.
Why the other answers are wrong
- B. g(x) = x² + 9
- x² + 9 has no real zeros.
- C. g(x) = −x² − 9
- −x² − 9 has no real zeros.
- D. g(x) = 9x²
- 9x² has a single zero at 0 and opens upward.
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