The axis of symmetry of a quadratic equation is x = –3. if one of the zeroes of the equation is 4, what is the other zero?

ANSWER

The other zero is



EXPLANATION

The axis of symmetry serves as the midpoint of the two zeroes.

We were given that the axis of symmetry of the quadratic equation is


We were also given that, one of the zeroes of the quadratic equation is


Let the other zero of the quadratic equation be


,then, we apply the midpoint formula to find the value of


Since it is the x-values of the intercepts that gives the solution, we use only the x-value part of the midpoint formula which is given by,



We substitute to obtain,



We multiply through by 2 to get,



This implies that,