Advanced MathMediumSum of the vertex coordinates of a parabola
Advanced Math practice question
In the xy-plane, the graph of y = −x² + 6x has its vertex at the point (h, k). What is the value of h + k?
Answer: 12
The vertex is at x = −6/(2·(−1)) = 3, where y = −9 + 18 = 9. So h + k = 3 + 9 = 12.
Common wrong answers
- If you answered 3
- 3 is h alone.
- If you answered 6
- 6 is the x-intercept other than 0, or the coefficient of x.
- If you answered 9
- 9 is k alone.
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