How many times does the following quadratic function cross the x-axis?

y= ax + bx + c
y = x^2+ 4x + 3
A It crosses the x-axis once.
B. It crosses the x-axis twice.
C. It never crosses the x-axis
D. It cannot be determined.
Please select the best answer from the choices provided

Correct option: B

Step-by-step explanation:

To find how many times the quadratic equation crosses the x-axis, we just need to find the roots of the function (that is, the values of x that implies y = 0):

y = x^2+ 4x + 3

x^2+ 4x + 3 = 0 -> a=1, b=4 and c=3

x = (-b ± √(b2-4ac)) / 2a

x1 = (-4 + √(16-12)) / 2 = (-4 + 2) /2 = -1

x2 = (-4 - √(16-12)) / 2 = (-4 - 2) /2 = -3

So we know that this function has two roots, so it intercepts the x-axis in two points (that is, twice).

Correct option: B

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