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Find the equation of the axis of symmetry of the following parabola using graphing technology. y=x^(2)+8 Answer:

Find the equation of the axis of symmetry of the following parabola using graphing technology.\newliney=x2+8 y=x^{2}+8 \newlineAnswer:

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Q. Find the equation of the axis of symmetry of the following parabola using graphing technology.\newliney=x2+8 y=x^{2}+8 \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+8y = x^2 + 8, the coefficient aa is 11 and there is no xx term, so b=0b = 0.
  2. Substitute into Formula: Substitute the values of aa and bb into the formula for the axis of symmetry: x=−b2a=−02⋅1=02=0x = -\frac{b}{2a} = -\frac{0}{2\cdot 1} = \frac{0}{2} = 0.
  3. Find Equation of Axis: 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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