AnswersAZ-Common Core Algebra II ACompleting the Square (Continued)Question 1
1
AssignmentMultiple Select

Completing the Square (Continued)

Question 1 • AZ-Common Core Algebra II A

The function p(x) = 6x2 + 48x written in vertex form is p(x) = 6(x + 4)2 – 96. Which statements are true about the graph of p? Check all that apply. The axis of symmetry is the line x = –4.The graph is narrower than the graph of f(x) = x2.The parabola has a maximum.The parabola opens down.The value of k is –96, so there is a vertical shift down 96 units.

Answer
A
The axis of symmetry is the line x = –4.
B
The graph is narrower than the graph of f(x) = x2.
C
The parabola has a maximum.
D
The parabola opens down.
E
The value of k is –96, so there is a vertical shift down 96 units.

Explanation

In vertex form, p(x) = a(x − h)² + k, so the vertex is (−4, −96) and the axis of symmetry is x = −4. Since |a| = 6 > 1, the graph is narrower than y = x². The positive value of a means the parabola opens up and has a minimum, not a maximum; k = −96 indicates a vertical shift down 96 units.

AI-written and checked against the verified answer.

Next

More from this Course

Assignment
25 verified answers

Instruction

Assignment
24 verified answers

Completing The Square

Assignment
26 verified answers

Completing The Square