Advanced MathHardVertex from a point on a parabola
Advanced Math practice question
The graph of y = x² − 6x + k in the xy-plane passes through the point (1, 2). What is the y-coordinate of the graph's vertex?
Answer: -2
1 − 6 + k = 2 gives k = 7. The vertex is at x = 3, where y = 9 − 18 + 7 = −2.
Common wrong answers
- If you answered 2
- 2 is the y-value at the given point.
- If you answered 3
- 3 is the x-coordinate of the vertex.
- If you answered 7
- 7 is k.
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.