2) \( y=x^{2}+6 x+5 \)

Did you know that the equation \(y = x^2 + 6x + 5\) represents a parabola? This particular parabola opens upward because the coefficient of \(x^2\) is positive. To find its vertex, you can use the formula \(x = -\frac{b}{2a}\), where \(a\) and \(b\) are coefficients from the equation. Here, that gives you the minimum point of the parabola! Now, let's talk about how to use this quadratic in real-life situations. This equation can model various scenarios, like projectile motion or profit maximization in business! By plugging in different values of \(x\), you can predict outcomes or optimize your results, helping you make informed decisions in everything from sports strategies to financial planning. So, unleash your inner mathematician and see what happens when you change that \(x\)!