Advanced MathMediumy-intercept from vertex form
Advanced Math practice question
In the xy-plane, the graph of y = 3(x − 2)² − 5 crosses the y-axis at the point (0, k). What is the value of k?
Answer: 7
Set x = 0: y = 3(−2)² − 5 = 3(4) − 5 = 7.
Common wrong answers
- If you answered 1
- 1 comes from 3(2) − 5, forgetting to square the −2.
- If you answered -5
- −5 is the y-coordinate of the VERTEX, not of the y-intercept.
- If you answered -17
- −17 comes from 3(−4) − 5, treating (−2)² as −4.
More Advanced Math questions
- Medium
What are the solutions to x² − 5x + 6 = 0? - Medium
The graph of f(x) = (x − 3)² + 4 is a parabola. What are the coordinates of its vertex? - Medium
If x² − 2x − 8 = (x + 2)(x − a), what is the value of a? - Medium
If √(x + 5) = 4, what is the value of x? - Medium
If f(x) = x + 3 and g(x) = 2x, what is f(g(4))? - Medium
What are the solutions to x² + 6x + 8 = 0?
Not affiliated with the College Board. SAT is a trademark of the College Board.