Advanced MathHardConstant term from a known minimum
Advanced Math practice question
The function g is defined by g(x) = x² − 6x + c, where c is a constant. If the minimum value of g is −4, what is the value of c?
Answer: 5
The vertex is at x = 3, and g(3) = 9 − 18 + c = −4, so c = 5.
Common wrong answers
- If you answered 3
- 3 is the x-coordinate of the vertex.
- If you answered -4
- −4 is the minimum value, not c.
- If you answered -13
- −13 solves 9 + c = −4, forgetting the −18.
More Advanced Math questions
- Hard
A population of bacteria doubles every 3 hours. If it starts at 500, which function models the population P af… - Hard
How many real solutions does x² + 4x + 5 = 0 have? - Hard
A car worth $20,000 loses 15% of its value each year. What is its value after 2 years? - Hard
An investment of $1,000 grows at 6% per year, compounded annually. Which expression gives its value after t ye… - Hard
If f(x) = x² − 1 and g(x) = x + 2, what is g(f(3))? - Hard
The parabola y = x² − 8x + 12 crosses the x-axis at two points. What is the x-coordinate of the vertex?
Not affiliated with the College Board. SAT is a trademark of the College Board.