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# A parabola is represented by the equation...?

### 2 Answers

- PuzzlingLv 74 weeks ago
We can complete the square and get:

y = x² + 4x + 4 - 4

y = (x + 2)(x + 2) - 4

y = (x + 2)² - 4

That's in vertex form of a parabola:

y = a(x - h)² + k

In your case:

a = 1

h = -2

k = -4

Since 'a' is positive, you have an upward facing parabola where the vertex is therefore a minimum. The coordinate of the vertex is (-2, -4).

The line of symmetry goes through that vertex, so is x = -2.

Answer:

A. The parabola has a minimum at (-2, -4)

C. The parabola has an axis of symmetry of x = -2

The other statements don't apply to this parabola.

- KrishnamurthyLv 74 weeks ago
A parabola is represented by the equation y = x^2 + 4x.

Which of the following is true about the parabola?

A. The parabola has a minimum at (-2, -4). ✔

B. The parabola has an axis of symmetry of x = 2.

C. The parabola has an axis of symmetry at x = -2. ✔

D. The parabola has a maximum at (2, 4).