Advanced MathEasy–MediumRecognising a downward parabola
Advanced Math practice question
Which of the following functions has a graph in the xy-plane that is a parabola opening DOWNWARD?
- A. y = 5 − x²Correct
- B. y = x² − 5
- C. y = 5x
- D. y = 5ˣ
Answer: A. y = 5 − x²
A parabola opens downward when the coefficient of x² is negative. y = 5 − x² is y = −x² + 5.
Why the other answers are wrong
- B. y = x² − 5
- x² − 5 has a positive x² coefficient, so it opens upward.
- C. y = 5x
- 5x is a straight line.
- D. y = 5ˣ
- 5ˣ is an exponential curve, not a parabola.
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Which expression is equivalent to (x + 5)²? - Easy–Medium
For x ≠ 0, which expression is equivalent to (x² + 3x) / x? - Easy–Medium
What are the solutions to the equation 2(x − 3)² − 32 = 0 ?
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