Advanced MathMediumValue of a quadratic at zero from its vertex
Advanced Math practice question
The function g is defined by g(x) = (x − a)² + b, where a and b are constants. The vertex of the graph of g in the xy-plane is (4, −3). What is the value of g(0)?
Answer: 13
Vertex form gives a = 4 and b = −3: g(x) = (x − 4)² − 3. Then g(0) = 16 − 3 = 13.
Common wrong answers
- If you answered 1
- 1 comes from 4 − 3.
- If you answered 19
- 19 comes from (0 + 4)² + 3, with both signs reversed.
- If you answered -3
- −3 is the minimum value, g(4).
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