Question

what is the axis of symmetry of the following function: y=x²+5x-12

Explanation:

Step1: Identify quadratic coefficients

For $y=ax^2+bx+c$, here $a=1$, $b=5$

Step2: Apply axis of symmetry formula

The formula is $x=-\frac{b}{2a}$
Substitute values: $x=-\frac{5}{2\times1}$

Step3: Simplify the expression

$x=-\frac{5}{2}$ or $x=-2.5$

Answer:

$x=-\frac{5}{2}$ (or $x=-2.5$)