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Math Asked by a SnapAndSolve user · about 10 hours ago

Which of the following graphs is described by the function given below?

Which of the following graphs is described by the function given below?
y = 3x^2 + 7x + 2
A. Graph A
B. Graph B
C. Graph C
D. Graph D

Answer

Answer: To determine which graph corresponds to the function y = 3x^2 + 7x + 2, we need to consider the properties of the quadratic function:

  1. The parabola opens upwards because the coefficient of x^2 is positive (3).
  2. The vertex can be found using the formula x = -b/(2a). Here, a = 3 and b = 7, so x = -7/(2*3) = -7/6.
  3. The y-intercept is the constant term, which is 2.

Based on these properties, the correct graph will be the one that opens upwards, has a vertex around x = -7/6, and crosses the y-axis at 2. Without seeing the graphs, we can't definitively choose the correct option, but this is how you would determine it.

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