Which of the following graphs is described by the function given below?
y = 2x^2 + 8x +3

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.
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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