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Find the equation of the axis of symmetry of the following parabola using graphing technology. y=-x^(2)-2x-7 Answer:

Find the equation of the axis of symmetry of the following parabola using graphing technology.\newliney=−x2−2x−7 y=-x^{2}-2 x-7 \newlineAnswer:

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Q. Find the equation of the axis of symmetry of the following parabola using graphing technology.\newliney=−x2−2x−7 y=-x^{2}-2 x-7 \newlineAnswer:
  1. Identify Parabola Equation: The equation of a parabola in the form y=ax2+bx+cy = ax^2 + bx + c has an axis of symmetry that can be found using the formula x=−b2ax = -\frac{b}{2a}. In this case, the parabola is y=−x2−2x−7y = -x^2 - 2x - 7, so we identify a=−1a = -1 and b=−2b = -2.
  2. Substitute Values: We substitute the values of aa and bb into the formula for the axis of symmetry: x=−(−2)/(2∗(−1))x = -(-2)/(2*(-1)).
  3. Perform Calculation: Perform the calculation: x=2(−2)=−1x = \frac{2}{(-2)} = -1.
  4. Final Axis of Symmetry: The equation of the axis of symmetry is therefore x=−1x = -1.

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