The function h (x) = x2 + 4x - 11 represents a parabola.

Part A: Rewrite the function in vertex form by completing the square. Show your work.

Part B: Determine the vertex and indicate whether it is a maximum or a minimum on the graph. How do you know?

Part C: Determine the axis of symmetry for h (x).

Question

Troy Keller

Mathematics

10 November, 17:42

The function h (x) = x2 + 4x - 11 represents a parabola.

Part A: Rewrite the function in vertex form by completing the square. Show your work.

Part B: Determine the vertex and indicate whether it is a maximum or a minimum on the graph. How do you know?

Part C: Determine the axis of symmetry for h (x).

+4

Answers (1)

Know the Answer?

Matias Carson · Answer 1

A.

= (x + 2) ^2 - 4 - 11

= (x + 2) ^2 - 15

B. vertex is at (-2, - 15) which is a minimum because the coefficient of x^2 is positive.

C. The axis of symmetry is a vertical line passing through the vertex It is

x = - 2.

The function h (x) = x2 + 4x - 11 represents a parabola.Part A: Rewrite the function in vertex form by completing the square. Show your work.Part B: Determine the vertex and indicate whether it is a maximum or a minimum on the graph. How do you know?Part C: Determine the axis of symmetry for h (x).