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Find the equation of the axis of symmetry for the parabola y=x2+1y = x^2 + 1. \newlineSimplify any numbers and write them as proper fractions, improper fractions, or integers.\newline__\_\_

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Q. Find the equation of the axis of symmetry for the parabola y=x2+1y = x^2 + 1. \newlineSimplify any numbers and write them as proper fractions, improper fractions, or integers.\newline__\_\_
  1. Identify coefficients: Identify the coefficients of the quadratic equation.\newlineThe given parabola is y=x2+1y = x^2 + 1, which can be compared to the standard form y=ax2+bx+cy = ax^2 + bx + c.\newlineHere, a=1a = 1, b=0b = 0, and c=1c = 1.
  2. Use axis of symmetry formula: Use the formula for the axis of symmetry.\newlineThe axis of symmetry for a parabola in the form y=ax2+bx+cy = ax^2 + bx + c is given by the equation x=−b2ax = -\frac{b}{2a}.
  3. Substitute values into formula: Substitute the values of aa and bb into the formula.\newlineSubstitute a=1a = 1 and b=0b = 0 into the formula x=−b2ax = -\frac{b}{2a} to find the axis of symmetry.\newlinex=−02×1x = -\frac{0}{2 \times 1}\newlinex=0x = 0
  4. Write axis of symmetry equation: Write the equation of the axis of symmetry.\newlineThe axis of symmetry is a vertical line passing through the xx-coordinate found in Step 33.\newlineTherefore, the equation of the axis of symmetry is x=0x = 0.

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