find the equation of the axis of symmetry for the parabola $y = x^2$. simplify any numbers and write them as…

find the equation of the axis of symmetry for the parabola $y = x^2$. simplify any numbers and write them as proper fractions, improper fractions, or integers.

find the equation of the axis of symmetry for the parabola $y = x^2$. simplify any numbers and write them as proper fractions, improper fractions, or integers.

Answer

Explanation:

Step1: Recall the formula for the axis of symmetry of a parabola in the form ( y = ax^2 + bx + c ). The formula for the axis of symmetry is ( x = -\frac{b}{2a} ).

For the parabola ( y = x^2 ), we can rewrite it as ( y = 1x^2 + 0x + 0 ). So, ( a = 1 ), ( b = 0 ), and ( c = 0 ).

Step2: Substitute the values of ( a ) and ( b ) into the formula for the axis of symmetry.

Substituting ( a = 1 ) and ( b = 0 ) into ( x = -\frac{b}{2a} ), we get ( x = -\frac{0}{2\times1} ). Simplifying the right - hand side, ( -\frac{0}{2}=0 ). So the equation of the axis of symmetry is ( x = 0 ).

Answer:

( x = 0 )