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The graph of which of the following equations will have a y-intercept?

  1. y = x2 - 4

  2. y = 2x - 4

  3. y = x2 + 4

  4. y = 4x - 3

The correct answer is: y = 2x - 4

Out of the given options, only B has a constant term, -4, which determines the y-intercept of the graph. The constant term represents the value of y when x equals 0. Option A has a constant term of -4 as well, but the x^2 term means the graph will not have a y-intercept, as it will approach infinity as x approaches 0. Option C also has a positive constant term, but the parabola opens upwards, so its y-intercept will be above the x-axis. Option D has no constant term, so its y-intercept will be at the origin, (0,0). Therefore, only option B has a y-intercept.