Advanced MathVery hardConstant that puts a vertex on the x-axis
Advanced Math practice question
For what value of c does the graph of y = x² + 6x + c in the xy-plane have its vertex on the x-axis?
Answer: 9
The vertex is at x = −3, where y = 9 − 18 + c. Setting this to 0 gives c = 9.
Common wrong answers
- If you answered 3
- 3 is the distance of the vertex from the y-axis.
- If you answered 6
- 6 copies the coefficient of x.
- If you answered -9
- −9 has the sign wrong.
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