.Write the vertex and indicate if the graph opens up or down. y = 2x2 + 8x + 3 A. (2,5) down
B. (-2,5) up
C. (-2,-5) down
D. (-2,-5) up

Given:

The equation of the parabola is

To find:

The vertex and check whether it opens up or down.

Solution:

We have,

Here, leading coefficient is 2 which is a positive number. So, the parabola opens up.

The vertex of parabola is

Here, a=2, b=8 and c=3.

Putting x=-2 in the given equation.

So, the vertex of the parabola is at (-2,-5) and parabola opens up.

Therefore, the correct option is D.