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Find the equation of the axis of symmetry of the following parabola using graphing technology. y=-x^(2)+3 Answer:

Find the equation of the axis of symmetry of the following parabola using graphing technology.\newliney=−x2+3 y=-x^{2}+3 \newlineAnswer:

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Q. Find the equation of the axis of symmetry of the following parabola using graphing technology.\newliney=−x2+3 y=-x^{2}+3 \newlineAnswer:
  1. Identify Coefficients: The axis of symmetry of a parabola in the form y=ax2+bx+cy = ax^2 + bx + c is given by the formula x=−b2ax = -\frac{b}{2a}. In the given equation y=−x2+3y = -x^2 + 3, we can identify a=−1a = -1 and b=0b = 0, since there is no xx term.
  2. Substitute into Formula: Substitute the values of aa and bb into the formula for the axis of symmetry. Since b=0b = 0, the formula simplifies to x=−0/(2∗(−1))=0x = -0/(2*(-1)) = 0.
  3. Calculate Axis of Symmetry: The equation of the axis of symmetry is therefore x=0x = 0, which is a vertical line passing through the origin.

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