Question

Click on all that are true about the graph of y > x^2 + 4x + 4.

a. The parabola opens up.
b. The line of symmetry is y = -2.
c. The vertex is at (-2, 0).
d. The parabola is dashed.
e. The parabola is shaded outside.

Answer 1

The correct options are:

a) The parabola opens up.

c) The vertex is at (-2,0).

d) The parabola is dashed.

Explanation:

We are given an algebraic inequality as:

y > x^2 + 4x + 4:

This implies that:

y> (x+2)^2

The options that holds true regarding this inequality is:

a)

The parabola opens up.

Since the coefficient of the leading term is positive.

c)

The vertex is at (-2,0).

d)

The parabola is dashed.

Since the inequality is a strict inequality.

( The line of symmetry of parabola is x=-2.

Also the parabola is shaded inside )