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Find the equation of the axis of symmetry of the following parabola using graphing technology. y=2x^(2)-16 Answer:

Find the equation of the axis of symmetry of the following parabola using graphing technology.\newliney=2x2−16 y=2 x^{2}-16 \newlineAnswer:

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Q. Find the equation of the axis of symmetry of the following parabola using graphing technology.\newliney=2x2−16 y=2 x^{2}-16 \newlineAnswer:
  1. Identify Quadratic Equation: We have the quadratic equation in the form y=ax2+bx+cy = ax^2 + bx + c, where a=2a = 2, b=0b = 0, and c=−16c = -16. The axis of symmetry for a parabola in this form can be found using the formula x=−b2ax = -\frac{b}{2a}.
  2. Calculate Axis of Symmetry: Substitute the values of aa and bb into the formula to find the axis of symmetry.x=−b2a=−02⋅2=04=0x = -\frac{b}{2a} = -\frac{0}{2\cdot 2} = \frac{0}{4} = 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 vertex of the parabola.

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