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Find the equation of the axis of symmetry for the parabola y=x2−192y = x^2 - \frac{19}{2}. \newlineSimplify any numbers and write them as proper fractions, improper fractions, or integers.\newline__\_\_

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Q. Find the equation of the axis of symmetry for the parabola y=x2−192y = x^2 - \frac{19}{2}. \newlineSimplify any numbers and write them as proper fractions, improper fractions, or integers.\newline__\_\_
  1. Identify Quadratic Equation: The general form of a quadratic equation is y=ax2+bx+cy = ax^2 + bx + c. In the equation y=x2−192y = x^2 - \frac{19}{2}, we can see that a=1a = 1, b=0b = 0, and c=−192c = -\frac{19}{2}. We need to find the axis of symmetry using the formula x=−b2ax = -\frac{b}{2a}.
  2. Find Values of a, b, c: Substitute the values of a and b into the formula for the axis of symmetry: x=−b2ax = -\frac{b}{2a}. Here, a=1a = 1 and b=0b = 0, so x=−02⋅1x = -\frac{0}{2\cdot 1}.
  3. Calculate Axis of Symmetry: Calculate the value of xx: x=−0(2⋅1)=02=0x = -\frac{0}{(2\cdot1)} = \frac{0}{2} = 0. Therefore, the axis of symmetry is x=0x = 0.

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