Calculate the Ascending Area: Finding Area Under y=(x+4)²-5

Find the ascending area of the function

$y=(x+4)^2-5$

To solve this problem, we'll follow these steps:

• Step 1: Identify the vertex of the function.
• Step 2: Determine the direction in which the parabola opens.
• Step 3: Use the vertex to determine where the function is increasing.

Now, let's work through each step:
Step 1: The function $y = (x+4)^2 - 5$ is in vertex form, with the vertex at $x = -4$.
Step 2: The expression $(x+4)^2$ has a positive coefficient, indicating the parabola opens upwards.
Step 3: For an upwards opening parabola, the function increases for values of $x$ greater than the vertex. Therefore, the function is increasing for $x > -4$.

Therefore, the solution to the problem is $-4 < x$.