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Find the equation of the axis of symmetry of the following parabola using graphing technology. y=4x^(2)+8 Answer:

Find the equation of the axis of symmetry of the following parabola using graphing technology.\newliney=4x2+8 y=4 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=4x2+8 y=4 x^{2}+8 \newlineAnswer:
  1. Identify Quadratic Equation: We have the quadratic equation in the form y=ax2+bx+cy = ax^2 + bx + c, where a=4a = 4, b=0b = 0, and c=8c = 8. The axis of symmetry for a parabola in this form is given by the formula x=−b2ax = -\frac{b}{2a}.
  2. Calculate Axis of Symmetry: Since b=0b = 0, the formula for the axis of symmetry simplifies to x=0(2⋅4)x = \frac{0}{(2 \cdot 4)}.
  3. Simplify Formula: Performing the calculation, we get x=08x = \frac{0}{8}, which simplifies to x=0x = 0.
  4. Find Axis of Symmetry: Therefore, the equation of the axis of symmetry is x=0x = 0.

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