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Find the yy-intercept of the parabola y=x2−192y = x^2 - \frac{19}{2}. \newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer.\newline_____

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Q. Find the yy-intercept of the parabola y=x2−192y = x^2 - \frac{19}{2}. \newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer.\newline_____
  1. Evaluate at x=0x = 0: To find the y-intercept of the parabola, we need to evaluate the equation y=x2−192y = x^2 - \frac{19}{2} at x=0x = 0, because the y-intercept occurs where the graph of the equation crosses the y-axis, and the x-coordinate is always 00 at the y-axis.
  2. Substitute x=0x = 0: Substitute x=0x = 0 into the equation y=x2−192y = x^2 - \frac{19}{2} to find the y-intercept.\newliney=(0)2−192y = (0)^2 - \frac{19}{2}\newliney=0−192y = 0 - \frac{19}{2}\newliney=−192y = -\frac{19}{2}
  3. Find y-intercept: The y-intercept of the parabola y=x2−192y = x^2 - \frac{19}{2} is the point (0,−192)(0, -\frac{19}{2}).

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