Respuesta :

Answer:

A

Step-by-step explanation:

y = 2x² + 8x + 3

Complete the square:

y = 2(x² + 4x) + 3

y = 2(x² + 4x + 4) + 3 - 2(4)

y = 2(x + 2)² - 5

So the vertex is at (-2, -5).  The graph must be Graph A.

Graph A has its vertex at (-4, -5). Then the correct option is A.

What is the parabola?

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

The parabolic expression is given below.

y = 2x² + 8x + 3

y = 2(x² + 4x) + 3

y = 2(x² + 4x + 4) - 8 + 3

y = 2(x + 4)² -5

The vertex of the parabola is at (-4, -5).

Graph A has its vertex at (-4, -5). Then the correct option is A.

Then the graph of the parabola is given below.

More about the parabola link is given below.

https://brainly.com/question/8495504

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