Advanced MathEasyIdentifying a quadratic from a graph description
Advanced Math practice question
The graph of a function in the xy-plane is a U-shaped curve with its lowest point at the origin. Which of the following could be the function?
- A. y = x²Correct
- B. y = x
- C. y = 2ˣ
- D. y = −x²
Answer: A. y = x²
y = x² is U-shaped with its minimum at (0, 0).
Why the other answers are wrong
- B. y = x
- A straight line.
- C. y = 2ˣ
- An exponential curve with no lowest point and y = 1 at x = 0.
- D. y = −x²
- An upside-down U with its highest point at the origin.
More Advanced Math questions
- Easy
If f(x) = 3x − 7, what is the value of f(5)? - Easy
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Which of the following expressions is equivalent to x² + 7x + 12 ? - Easy
The function g is defined by g(x) = x³ + 2x. What is the value of g(−2) ? - Easy
For x > 0, which of the following is equivalent to ∛(x⁵) ? - Easy
The function h is defined by h(x) = (x − 6)(x + 2). What is one value of x for which h(x) = 0 ?
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