5 b Determine the \( y \) value of the \( y \) - intercept of \( y=2(x+4)(x+2) \). \( v= \)

To find the \( y \)-intercept of the function \( y = 2(x + 4)(x + 2) \), substitute \( x = 0 \) into the equation. Calculating it: \[ y = 2(0 + 4)(0 + 2) = 2(4)(2) = 16 \] So, the \( y \)-intercept is \( v = 16 \). --- Understanding the \( y \)-intercept can really show you how a function behaves at the starting point of the x-axis. It gives you a quick glimpse of the overall shape of the graph and where it crosses the \( y \)-axis! If you're sketching the graph or looking to understand its transformations better, remember that the \( y \)-intercept helps set the stage for identifying key features like maxima, minima, and the overall curve's direction!