Calculate the Descending Area of y=(x-5)² in Quadratic Functions

Find the descending area of the function

$y=(x-5)^2$

To solve this problem, we will identify where the parabolic function $y = (x-5)^2$ is decreasing.

• Step 1: Recognize the vertex of the parabola. The equation $y = (x-5)^2$ indicates the vertex is at $(5, 0)$.
• Step 2: Understand the direction of the parabola. This parabola opens upward as it is in the form $y = (x-p)^2$.
• Step 3: Determine the decreasing interval. For an upward-opening parabola, it decreases on the left side of the vertex.

From the vertex form of the parabola, we can conclude that the function decreases when $x < 5$.

Therefore, the solution to the problem is $x < 5$.