nd the equation of the axis of symmetry for the parabola y=x^2+5x+8 implify any numbers and write them as proper fractions, improper fractions, or integers. square

To find the equation of the axis of symmetry for the par by \( y = x^2 + 5x + 8 \), we use the formula for the axis of symmetry of a quadratic function \( y = ax^2 + bx + c \), which is given by:<br /><br />\[ x = -\frac{b}{2a} \]<br /><br />For the given quadratic equation \( y = x^2 + 5x + 8 \):<br /><br />- \( a = 1 \)<br />- \( b = 5 \)<br />- \( c = 8 \)<br /><br />Substitute \( a \) and \( b \) into the formula:<br /><br />\[ x = -\frac{5}{2 \cdot 1} = -\frac{5}{2} \]<br /><br />So, the equation of the axis of symmetry is:<br /><br />\[ x = -\frac{5}{2} \]<br /><br />Thus, the simplified equation of the axis of symmetry for the parabola \( y = x^2 + 5x + 8 \) is:<br /><br />\[ \boxed{x = -\frac{5}{2}} \]