Advanced MathMediumParabola with a given intercept that opens downward
Advanced Math practice question
Which of the following functions has a graph in the xy-plane that opens downward and has a y-intercept of 5?
- A. y = −x² + 5Correct
- B. y = x² + 5
- C. y = −x² − 5
- D. y = −(x − 5)²
Answer: A. y = −x² + 5
The negative coefficient of x² opens the parabola downward, and at x = 0, y = 5.
Why the other answers are wrong
- B. y = x² + 5
- This opens upward.
- C. y = −x² − 5
- Its y-intercept is −5.
- D. y = −(x − 5)²
- Its y-intercept is −25.
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