8
QuizMultiple Choice

Completing the Square — Quiz

Question 8 • Algebra I

Charla wants to determine the vertex of the function f of x is equal to x squared minus 18 x plus 60 by changing the function into vertex form. Which statement about the vertex of the function is true?

Answer
A
The y -coordinate of the vertex is positive.
B
The x -coordinate of the vertex is greater than the y -coordinate.
C
The y -coordinate of the vertex is greater than the y -intercept.
D
The x -coordinate of the vertex is negative.

Explanation

Complete the square: x² − 18x + 60 = (x − 9)² − 21, so the vertex is (9, −21). The x-coordinate, 9, is greater than the y-coordinate, −21, making statement A true. The y-coordinate is negative, and it is less than the y-intercept, 60.

AI-written and checked against the verified answer.

Previous
Next